Algebra Examples

${(x^{- \frac{4}{7}})}^{7}$

Step 1

Multiply the exponents in ${(x^{- \frac{4}{7}})}^{7}$ .

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Step 1.1

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

$x^{- \frac{4}{7} \cdot 7}$

Step 1.2

Cancel the common factor of $7$ .

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Step 1.2.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$x^{\frac{- 4}{7} \cdot 7}$

Step 1.2.2

Cancel the common factor.

$x^{\frac{- 4}{7} \cdot 7}$

Step 1.2.3

Rewrite the expression.

$x^{- 4}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{4}}$