Basic Math Examples

${(x^{8} y^{7})}^{- 4}$

Step 1

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

$\frac{1}{{(x^{8} y^{7})}^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $x^{8} y^{7}$ .

$\frac{1}{{(x^{8})}^{4} {(y^{7})}^{4}}$

Step 2.2

Multiply the exponents in ${(x^{8})}^{4}$ .

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Step 2.2.1

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

$\frac{1}{x^{8 \cdot 4} {(y^{7})}^{4}}$

Step 2.2.2

Multiply $8$ by $4$ .

$\frac{1}{x^{32} {(y^{7})}^{4}}$

Step 2.3

Multiply the exponents in ${(y^{7})}^{4}$ .

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Step 2.3.1

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

$\frac{1}{x^{32} y^{7 \cdot 4}}$

Step 2.3.2

Multiply $7$ by $4$ .

$\frac{1}{x^{32} y^{28}}$