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Popular >

simplify (-4a^2b^{-7}c)^2

Solution

simplify

(- 4 a^{2} b^{- 7} c)^{2}

Solution

\frac{16 a ^{4} c ^{2}}{b ^{14}}

Solution steps

(- 4 a^{2} b^{- 7} c)^{2}

Apply exponent rule:

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

if

n

is even

(- 4 a^{2} b^{- 7} c)^{2} = (4 a^{2} b^{- 7} c)^{2}

= (4 a^{2} b^{- 7} c)^{2}

Apply exponent rule:

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

(4 a^{2} b^{- 7} c)^{2} = 4^{2} (a^{2})^{2} (b^{- 7})^{2} c^{2}

= 4^{2} (a^{2})^{2} (b^{- 7})^{2} c^{2}

4^{2} = 16

= 16 (a^{2})^{2} (b^{- 7})^{2} c^{2}

Simplify

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

= 16 a^{4} (b^{- 7})^{2} c^{2}

Simplify

(b^{- 7})^{2} : \frac{1}{b ^{14}}

= 16 a^{4} \frac{1}{b ^{14}} c^{2}

Simplify

16 a^{4} \frac{1}{b ^{14}} c^{2} : \frac{16 a ^{4} c ^{2}}{b ^{14}}

= \frac{16 a ^{4} c ^{2}}{b ^{14}}

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Frequently Asked Questions (FAQ)

What is (-4a^2b^{-7}c)^2 ?
The solution to (-4a^2b^{-7}c)^2 is (16a^4c^2)/(b^{14)}