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Free rationalize numerator calculator - rationalize numerator of radical and complex fractions step-by-stepAnswer. Answer:The equivalent expression will be 1,215 Superscript one-fifth x. Step-by-step explanation: The given expression is Root Index 5 Start Root 1,215 End Root Superscript x i.e. and we have to find the equivalent expression from options. Now, can be written as .The simplified root of the given root i.e. √(400x¹⁰⁰) is 20x⁵⁰.The solution has been obtained by using the law of indices.. What is the law of indices?. The guidelines for simplifying expressions containing powers of the same base number are known as index laws.. We are given an expression as √(400x¹⁰⁰). Using law of indices,. ⇒ √(400x¹⁰⁰) = √400 * √(x¹⁰⁰ ...What is the following simplified product? Assume x greater-than-or-equal-to 0 (StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline) A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRootThe expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is; . x Superscript five-thirds Baseline y Superscript one-third; The expression can be written as; In essence, Upon simplification; we have; x⁵ ^(1/3) × y^(-1/3) Therefore, we have; x^(5/3) × y (-1/3)Let'S multiply and simplify this, so the first thing i would do is come over here and just distribute what was outside the parentheses so to take and distribute to each 1 of these pieces inside. So, let's start with the first piece i will say: 2 times, 3 is 6 and then inside and we'll say 8 times, 10 is 80 and then add the exponents.Click here 👆 to get an answer to your question ️ Which expression is equivalent to RootIndex 4 StartRoot StartFraction 16 x Superscript 11 ... Over 81 x Superscript 7 Baseline y Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y not-equals 0. ... and then taking the fourth root of both to simplify further. Step 1 ...Example 1: Simplifying 10 x 3 2 x 2 − 18 x. Step 1: Factor the numerator and denominator. Here it is important to notice that while the numerator is a monomial, we can factor this as well. 10 x 3 2 x 2 − 18 x = 2 ⋅ 5 ⋅ x ⋅ x 2 2 ⋅ x ⋅ ( x − 9) Step 2: List restricted values. From the factored form, we see that x ≠ 0 and x ≠ 9 .The simplified form of the expression StartRoot 400 x Superscript 100 Baseline EndRoot is 20 x Superscript 50. To simplify, we need to rewrite the expression using integer powers. We know that the square root of 400 is 20 because 20 x 20 = 400. Similarly, 100 can be rewritten as 10 x 10, which is 10 raised to the power of 2. By combining these ...Thanks 16. star. star. star. star. star half outlined. rating answer section. star. star. star. star. star. Answer rating 4.7 ... (RootIndex 12 StartRoot x Superscript 5 EndRoot) D. x6. star. 4.8/5. heart. 91. verified. ... (StartRoot 6 EndRoot minus StartRoot 10 EndRoot) A. 6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 ...Which expression is equivalent to RootIndex 4 StartRoot 144 a Superscript 12 Baseline b cubed EndRoot? Assume a greater-than-or-equal-to 0 and b greater-than-or-equal-to 0. 2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot) 2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot) 6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot) 12 a ...Which expression is equivalent to RootIndex 4 StartRoot StartFraction 16 x Superscript 11 Baseline y Superscript 8 Baseline Over 81 x Superscript 7 Baseline y Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y not-equals 0.Question: StartFraction x Superscript two thirds Baseline x Superscript one half Baseline Over left parenthesis x StartRoot x Superscript negative 3 Baseline EndRoot RootIndex 3 StartRoot x squared EndRoot right parenthesis Superscript 6 Baseline EndFraction in the form x Superscript s Baseline.What is the following sum? RootIndex 3 StartRoot 125 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot + RootIndex 3 StartRoot 27 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot 8 x cubed y Superscript 4 Baseline (RootIndex 3 StartRoot x y EndRoot) 15 x Superscript 6 Baseline y Superscript 8 …1. 4. Marcus states that the polynomial expression 3x3 - 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 - 4x2y + 3x3 +2. Explain which student is correct and why. They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in ...Final answer: The expression can be simplified as .. Explanation: To solve this problem, we need to find an equivalent expression for .First, we can break down the square root into prime factors. Breaking down 8 into prime factors gives us 2³, x⁷ can be written as x³ × x⁴, and y⁸ is straightforward. Therefore, becomes . Now we can rewrite this square …Algebra. Simplify Calculator. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression …What is the following simplified product? Assume x greater-than-or-equal-to 0 (StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline) A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

Yes, you can take that approach. But, your work is incomplete. When you simplify a square root, you need to ensure you have removed all perfect squares. With 3√8, you still have a perfect square inside the radical. 3√8 = 3√ (4*2) = 3√4 * √2 = 3*2√2 = 6√2. Hope this helps.Jun 9, 2022 · What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFraction EndRoot? Assume x ≠ 0. StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction StartFraction 6 Over 5 x squared EndFraction Six-fifths x Superscript 10 Six-fifths x squared What are the domain and range of the function f(x) = 4(rootindex 3 startroot 81 endroot) superscript x?. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer. star. 4.5/5. heart. 10. verified.Calculus questions and answers. Differentiate the following function.Bold r left parenthesis t right parenthesisequalsleft angle 9 t Superscript 5 Baseline comma 18 StartRoot t EndRoot comma StartFraction 3 Over t EndFraction right angleQuestion content area bottomPart 1Bold r prime left parenthesis t right parenthesisequals.

We need to simplify the expression by rationalizing the denominator. Step 2. 2 of 4. To rationalize a denominator with a radical of index n n n, multiply the numerator and the denominator by the n n n th root of the smallest number that produces a perfect n n n th factor with the radicand in the denominator. ... 3 54 3 + 5 16 3 3 \sqrt[3] ...You can find the odd root of a negative number, but you cannot find the even root of a negative number. This means you can simplify the radicals 3√−81, 5√−64 − 81 3, − 64 5, and 7√−2187 − 2187 7, but you cannot simplify the radicals √−100, 4√−16 − 100, − 16 4, or 6√−2,500 − 2, 500 6. Let's look at another ...…

Reader Q&A - also see RECOMMENDED ARTICLES & FAQs. Answer: Option (b) is correct. Step-by-step explanation. Possible cause: Simplify the fraction inside the cube root: Find the greatest common factor (GCF) of 12 a.