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Popular >

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

Solution

simplify

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

Solution

\frac{c ^{3}}{b ^{9}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(b^{- 3})^{3} : \frac{1}{b ^{9}}

= \frac{1}{b ^{9}} c^{3}

Simplify

\frac{1}{b ^{9}} c^{3} : \frac{c ^{3}}{b ^{9}}

= \frac{c ^{3}}{b ^{9}}

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Frequently Asked Questions (FAQ)

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