What is (7m^{-3}n^8)^{-2} ?

The solution to (7m^{-3}n^8)^{-2} is (m^6)/(49n^{16)}

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simplify (7m^{-3}n^8)^{-2}

simplify

(7 m^{- 3} n^{8})^{- 2}

\frac{m ^{6}}{49 n ^{16}}

Solution steps

(7 m^{- 3} n^{8})^{- 2}

Apply exponent rule:

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

(7 m^{- 3} n^{8})^{- 2} = \frac{1}{( 7 m ^{- 3} n ^{8} ) ^{2}}

= \frac{1}{( 7 m ^{- 3} n ^{8} ) ^{2}}

Simplify

(7 m^{- 3} n^{8})^{2} : \frac{49 n ^{16}}{m ^{6}}

= \frac{1}{\frac{49 n ^{16}}{m ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{m ^{6}}{49 n ^{16}}

\frac{1}{x} - \frac{1}{x ^{2} + x}

(5 + n) 3

lo g_{5} (2 5^{7})

\frac{2}{14 - 2}

What is (7m^{-3}n^8)^{-2} ?
The solution to (7m^{-3}n^8)^{-2} is (m^6)/(49n^{16)}