Algebra Examples

${(27^{\frac{1}{3}})}^{3}$

Step 1

Multiply the exponents in ${(27^{\frac{1}{3}})}^{3}$ .

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Step 1.1

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

$27^{\frac{1}{3} \cdot 3}$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Cancel the common factor.

$27^{\frac{1}{3} \cdot 3}$

Step 1.2.2

Rewrite the expression.

$27^{1}$

Step 2

Evaluate the exponent.

$27$