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Popular >

simplify (-4b^{-5}c^2)^2

Solution

simplify

(- 4 b^{- 5} c^{2})^{2}

Solution

\frac{16 c ^{4}}{b ^{10}}

Solution steps

(- 4 b^{- 5} c^{2})^{2}

Apply exponent rule:

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

if

n

is even

(- 4 b^{- 5} c^{2})^{2} = (4 b^{- 5} c^{2})^{2}

= (4 b^{- 5} c^{2})^{2}

Apply exponent rule:

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

(4 b^{- 5} c^{2})^{2} = 4^{2} (b^{- 5})^{2} (c^{2})^{2}

= 4^{2} (b^{- 5})^{2} (c^{2})^{2}

4^{2} = 16

= 16 (b^{- 5})^{2} (c^{2})^{2}

Simplify

(b^{- 5})^{2} : \frac{1}{b ^{10}}

= 16 \cdot \frac{1}{b ^{10}} (c^{2})^{2}

Simplify

(c^{2})^{2} : c^{4}

= 16 \cdot \frac{1}{b ^{10}} c^{4}

Simplify

16 \cdot \frac{1}{b ^{10}} c^{4} : \frac{16 c ^{4}}{b ^{10}}

= \frac{16 c ^{4}}{b ^{10}}

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Frequently Asked Questions (FAQ)

What is (-4b^{-5}c^2)^2 ?
The solution to (-4b^{-5}c^2)^2 is (16c^4)/(b^{10)}