simplify (r^{-7})^6

Solution

simplify

(r^{- 7})^{6}

\frac{1}{r ^{42}}

Solution steps

(r^{- 7})^{6}

Apply exponent rule:

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

assuming

a \geq 0

= r^{- 7 \cdot 6}

Multiply the numbers:

7 \cdot 6 = 42

= r^{- 42}

Apply exponent rule:

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

r^{- 42} = \frac{1}{r ^{42}}

= \frac{1}{r ^{42}}

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