Algebra Examples

Simplify ${(s^{- 5})}^{3}$

Step 1

Multiply the exponents in ${(s^{- 5})}^{3}$ .

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Step 1.1

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

$s^{- 5 \cdot 3}$

Step 1.2

Multiply $- 5$ by $3$ .

$s^{- 15}$

Step 2

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

$\frac{1}{s^{15}}$