Algebra Examples

$c = {(\sqrt[3]{107.7})}^{3}$

Step 1

Remove parentheses.

$c = {\sqrt[3]{107.7}}^{3}$

Step 2

Rewrite ${\sqrt[3]{107.7}}^{3}$ as $107.7$ .

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Step 2.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{107.7}$ as ${107.7}^{\frac{1}{3}}$ .

$c = {({107.7}^{\frac{1}{3}})}^{3}$

Step 2.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$c = {107.7}^{\frac{1}{3} \cdot 3}$

Step 2.3

Combine $\frac{1}{3}$ and $3$ .

$c = {107.7}^{\frac{3}{3}}$

Step 2.4

Cancel the common factor of $3$ .

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Step 2.4.1

Cancel the common factor.

$c = {107.7}^{\frac{3}{3}}$

Step 2.4.2

Rewrite the expression.

$c = {107.7}^{1}$

Step 2.5

Evaluate the exponent.

$c = 107.7$