What is (-0.4)^{-n}z^n ?

The solution to (-0.4)^{-n}z^n is (z^n)/((-0.4)^n)

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simplify (-0.4)^{-n}z^n

simplify

(- 0.4)^{- n} z^{n}

\frac{z ^{n}}{( - 0.4 ) ^{n}}

Solution steps

(- 0.4)^{- n} z^{n}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(- 0.4)^{- n} = \frac{1}{( - 0.4 ) ^{n}}

= \frac{1}{( - 0.4 ) ^{n}} z^{n}

Apply the fraction rule:

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

= \frac{1 \cdot z ^{n}}{( - 0.4 ) ^{n}}

Apply rule:

1 \cdot a = a

1 \cdot z^{n} = z^{n}

= \frac{z ^{n}}{( - 0.4 ) ^{n}}

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