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Popular >

simplify ((a^6)/(a^7))^{-3}

Solution

simplify

(\frac{a ^{6}}{a ^{7}})^{- 3}

Solution

a^{3}

Solution steps

(\frac{a ^{6}}{a ^{7}})^{- 3}

Apply exponent rule:

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

(\frac{a ^{6}}{a ^{7}})^{- 3} = \frac{1}{( \frac{a ^{6}}{a ^{7}} ) ^{3}}

= \frac{1}{( \frac{a ^{6}}{a ^{7}} ) ^{3}}

Simplify

(\frac{a ^{6}}{a ^{7}})^{3} : \frac{1}{a ^{3}}

= \frac{1}{\frac{1}{a ^{3}}}

Simplify

\frac{1}{\frac{1}{a ^{3}}} : a^{3}

= a^{3}

Popular Examples

((x-2))/3-((3x-1))/4 =x+((3x+2))/5

\frac{( x - 2 )}{3} - \frac{( 3 x - 1 )}{4} = x + \frac{( 3 x + 2 )}{5}

factor 3x^2-6x-240 factor

3 x^{2} - 6 x - 240

factor-sqrt(2)-sqrt(2)i factor

- 2 - 2 i

x^{2} (x - 1) < 6 x

\frac{h}{- 2} > 6

Frequently Asked Questions (FAQ)

What is ((a^6)/(a^7))^{-3} ?
The solution to ((a^6)/(a^7))^{-3} is a^3