simplify (m^{-2})^5

Solution

simplify

(m^{- 2})^{5}

\frac{1}{m ^{10}}

Solution steps

(m^{- 2})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= m^{- 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= m^{- 10}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

m^{- 10} = \frac{1}{m ^{10}}

= \frac{1}{m ^{10}}

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