Select the expression that is equivalent to (1)/(6x^((5)/(2))) (1)/(root(5)(6x^(2))) (1)/(6sqrt(x^(5))) (1)/(sqrt(6x^(5))) (1)/(6root(5)(x^(2)))

Understand Expression: Understand the given expression. We are given the expression (1)/(6x^((5)/(2))) and we need to find an equivalent expression among the options provided.Analyze Exponent: Analyze the exponent in the denominator. The exponent (5/2) can be rewritten as a radical expression. Since 2 is the denominator of the fraction, it indicates a square root, and the numerator 5 is the power of x inside the root. (1)/(6x^((5)/(2))) = (1)/(6sqrt(x^5))Compare with Options: Compare with the given options. Now we compare the simplified expression from Step 2 with the given options to find the equivalent one. (1)/(6sqrt(x^5)) matches with the option (1)/(6sqrt(x^(5))).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the expression that is equivalent to
(1)/(6x^((5)/(2)))

(1)/(root(5)(6x^(2)))

(1)/(6sqrt(x^(5)))

(1)/(sqrt(6x^(5)))

(1)/(6root(5)(x^(2)))

Select the expression that is equivalent to $\frac{1}{6 x^{\frac{5}{2}}}$ $\newline$ $\frac{1}{\sqrt[5]{6 x^{2}}}$ $\newline$ $\frac{1}{6 \sqrt{x^{5}}}$ $\newline$ $\frac{1}{\sqrt{6 x^{5}}}$ $\newline$ $\frac{1}{6 \sqrt[5]{x^{2}}}$

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Select the expression that is equivalent to

\frac{1}{6 x^{\frac{5}{2}}}

\newline

\frac{1}{\sqrt[5]{6 x^{2}}}

\newline

\frac{1}{6 \sqrt{x^{5}}}

\newline

\frac{1}{\sqrt{6 x^{5}}}

\newline

\frac{1}{6 \sqrt[5]{x^{2}}}

Understand Expression: Understand the given expression. $\newline$ We are given the expression $(1)/(6x^{(5)/(2)})$ and we need to find an equivalent expression among the options provided.
Analyze Exponent: Analyze the exponent in the denominator. $\newline$ The exponent $(\frac{5}{2})$ can be rewritten as a radical expression. Since $2$ is the denominator of the fraction, it indicates a square root, and the numerator $5$ is the power of $x$ inside the root. $\newline$ $\frac{1}{6x^{(\frac{5}{2})}} = \frac{1}{6\sqrt{x^5}}$
Compare with Options: Compare with the given options. $\newline$ Now we compare the simplified expression from Step $2$ with the given options to find the equivalent one. $\newline$ $(1)/(6\sqrt{x^5})$ matches with the option $(1)/(6\sqrt{x^{5}})$ .