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Popular >

simplify (20z^{-9})/((-5z)^2)

Solution

simplify

\frac{20 z ^{- 9}}{( - 5 z ) ^{2}}

Solution

\frac{4}{5 z ^{11}}

Solution steps

\frac{20 z ^{- 9}}{( - 5 z ) ^{2}}

Apply exponent rule:

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

if

n

is even

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

= \frac{20 z ^{- 9}}{( 5 z ) ^{2}}

Apply exponent rule:

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

(5 z)^{2} = 5^{2} z^{2}

= \frac{20 z ^{- 9}}{5 ^{2} z ^{2}}

Factor the number:

20 = 5 \cdot 4

= \frac{5 \cdot 4 z ^{- 9}}{5 ^{2} z ^{2}}

\frac{5}{5 ^{2}} = \frac{1}{5}

= \frac{4 z ^{- 9}}{5 z ^{2}}

Simplify

\frac{z ^{- 9}}{z ^{2}} : \frac{1}{z ^{11}}

= \frac{4}{5 z ^{11}}

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Frequently Asked Questions (FAQ)

What is (20z^{-9})/((-5z)^2) ?
The solution to (20z^{-9})/((-5z)^2) is 4/(5z^{11)}