Algebra Examples

$- 243^{\frac{1}{5}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $243$ as $3^{5}$ .

$- {(3^{5})}^{\frac{1}{5}}$

Step 1.2

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

$- 3^{5 (\frac{1}{5})}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$- 3^{5 (\frac{1}{5})}$

Step 2.2

Rewrite the expression.

$- 3^{1}$

Step 3

Evaluate the exponent.

$- 1 \cdot 3$

Step 4

Multiply $- 1$ by $3$ .

$- 3$