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Popular >

simplify (-2w^6*x^{-5})^2

Solution

simplify

(- 2 w^{6} \cdot x^{- 5})^{2}

Solution

\frac{4 w ^{12}}{x ^{10}}

Solution steps

(- 2 w^{6} x^{- 5})^{2}

Apply exponent rule:

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

if

n

is even

(- 2 w^{6} x^{- 5})^{2} = (2 w^{6} x^{- 5})^{2}

= (2 w^{6} x^{- 5})^{2}

Apply exponent rule:

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

(2 w^{6} x^{- 5})^{2} = 2^{2} (w^{6})^{2} (x^{- 5})^{2}

= 2^{2} (w^{6})^{2} (x^{- 5})^{2}

2^{2} = 4

= 4 (w^{6})^{2} (x^{- 5})^{2}

Simplify

(w^{6})^{2} : w^{12}

= 4 w^{12} (x^{- 5})^{2}

Simplify

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

= 4 w^{12} \frac{1}{x ^{10}}

Simplify

4 w^{12} \frac{1}{x ^{10}} : \frac{4 w ^{12}}{x ^{10}}

= \frac{4 w ^{12}}{x ^{10}}

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Frequently Asked Questions (FAQ)

What is (-2w^6*x^{-5})^2 ?
The solution to (-2w^6*x^{-5})^2 is (4w^{12})/(x^{10)}