Question

Use the Law of Exponents to rewrite and simplify the expression.

$1/∛x^4$

Solutions

VerifiedSolution A

Solution B

Solution C

Answered 1 year ago

Step 1

1 of 4According to the rules of exponents, we know that,

$\begin{align} (a^m)^n &= a^{mn},\\ \frac{a^m}{a^n} &= a^{m-n},\\ a^m\cdot a^n &= a^{m+n}.\\ \end{align}$

Step 1

1 of 2$\dfrac{1}{\sqrt[3]{x^4}}$

$\text{\color{#c34632}Remember : $\sqrt[b]{a} = a^{1/b}$ }$

$\dfrac{1}{\left(x^4 \right)^{1/3}}$

$\text{\color{#c34632}Remember : $\left(x^{a} \right)^b = x^{a\times b}$ }$

$\dfrac{1}{x^{4/3}}$

$\text{\color{#c34632}Remember : $\dfrac{1}{x^a} = x^{-a}$ }$

$x^{-4/3}$

Step 1

1 of 4$\dfrac{1}{(x^4)^{\frac{1}{3}}}$

The cube root has an exponent value of 1/3.

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