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Popular >

simplify (-2b^{-2}c^3)^3

Solution

simplify

(- 2 b^{- 2} c^{3})^{3}

Solution

- \frac{8 c ^{9}}{b ^{6}}

Solution steps

(- 2 b^{- 2} c^{3})^{3}

Apply exponent rule:

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

if

n

is odd

(- 2 b^{- 2} c^{3})^{3} = - (2 b^{- 2} c^{3})^{3}

= - (2 b^{- 2} c^{3})^{3}

Apply exponent rule:

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

(2 b^{- 2} c^{3})^{3} = 2^{3} (b^{- 2})^{3} (c^{3})^{3}

= - 2^{3} (b^{- 2})^{3} (c^{3})^{3}

2^{3} = 8

= - 8 (b^{- 2})^{3} (c^{3})^{3}

Simplify

(b^{- 2})^{3} : \frac{1}{b ^{6}}

= - 8 \cdot \frac{1}{b ^{6}} (c^{3})^{3}

Simplify

(c^{3})^{3} : c^{9}

= - 8 \cdot \frac{1}{b ^{6}} c^{9}

Simplify

8 \cdot \frac{1}{b ^{6}} c^{9} : \frac{8 c ^{9}}{b ^{6}}

= - \frac{8 c ^{9}}{b ^{6}}

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Frequently Asked Questions (FAQ)

What is (-2b^{-2}c^3)^3 ?
The solution to (-2b^{-2}c^3)^3 is -(8c^9)/(b^6)