What is (2z^2)^{-5}z^{10} ?

The solution to (2z^2)^{-5}z^{10} is 1/32

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simplify (2z^2)^{-5}z^{10}

simplify

(2 z^{2})^{- 5} z^{10}

\frac{1}{32}

Decimal Notation

0.03125

Solution steps

(2 z^{2})^{- 5} z^{10}

Simplify

(2 z^{2})^{- 5} : \frac{1}{32 z ^{10}}

= \frac{1}{32 z ^{10}} z^{10}

Apply the fraction rule:

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

= \frac{1 \cdot z ^{10}}{32 z ^{10}}

Apply rule:

1 \cdot a = a

1 \cdot z^{10} = z^{10}

= \frac{z ^{10}}{32 z ^{10}}

Cancel the common factor:

z^{10}

= \frac{1}{32}

- 25 - - 36

\frac{7}{8} + \frac{3}{5}

(3 x^{2} - 5 x - 9) (x^{2} - x - 2)

lo g_{10} (2^{n})

- \frac{3}{2} (- 8 c + 2) + 11