What is (5w^2z^{-2})^2(z^3) ?

The solution to (5w^2z^{-2})^2(z^3) is (25w^4)/z

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simplify (5w^2z^{-2})^2(z^3)

simplify

(5 w^{2} z^{- 2})^{2} (z^{3})

\frac{25 w ^{4}}{z}

Solution steps

(5 w^{2} z^{- 2})^{2} (z^{3})

Apply rule:

(a) = a

(z^{3}) = z^{3}

= (5 w^{2} z^{- 2})^{2} z^{3}

Simplify

(5 w^{2} z^{- 2})^{2} : \frac{25 w ^{4}}{z ^{4}}

= \frac{25 w ^{4}}{z ^{4}} z^{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{25 w ^{4} z ^{3}}{z ^{4}}

Simplify

\frac{z ^{3}}{z ^{4}} : \frac{1}{z}

= \frac{25 w ^{4}}{z}

12 + 27 + 75

(a + 3 b)^{4}

19 2^{2}

(10 - 10 i) - (10 + 7 i)