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Popular >

simplify (-3a^2b^{-5})^3

Solution

simplify

(- 3 a^{2} b^{- 5})^{3}

Solution

- \frac{27 a ^{6}}{b ^{15}}

Solution steps

(- 3 a^{2} b^{- 5})^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 3 a^{2} b^{- 5})^{3} = - (3 a^{2} b^{- 5})^{3}

= - (3 a^{2} b^{- 5})^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 a^{2} b^{- 5})^{3} = 3^{3} (a^{2})^{3} (b^{- 5})^{3}

= - 3^{3} (a^{2})^{3} (b^{- 5})^{3}

3^{3} = 27

= - 27 (a^{2})^{3} (b^{- 5})^{3}

Simplify

(a^{2})^{3} : a^{6}

= - 27 a^{6} (b^{- 5})^{3}

Simplify

(b^{- 5})^{3} : \frac{1}{b ^{15}}

= - 27 a^{6} \frac{1}{b ^{15}}

Simplify

27 a^{6} \frac{1}{b ^{15}} : \frac{27 a ^{6}}{b ^{15}}

= - \frac{27 a ^{6}}{b ^{15}}

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Frequently Asked Questions (FAQ)

What is (-3a^2b^{-5})^3 ?
The solution to (-3a^2b^{-5})^3 is -(27a^6)/(b^{15)}