What is (4a)^{-2}*(2a)^3 ?

The solution to (4a)^{-2}*(2a)^3 is a/2

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simplify (4a)^{-2}*(2a)^3

simplify

(4 a)^{- 2} \cdot (2 a)^{3}

\frac{a}{2}

Solution steps

(4 a)^{- 2} (2 a)^{3}

Simplify

(4 a)^{- 2} : \frac{1}{16 a ^{2}}

= \frac{1}{16 a ^{2}} (2 a)^{3}

Simplify

(2 a)^{3} : 8 a^{3}

= \frac{1}{16 a ^{2}} \cdot 8 a^{3}

Apply the fraction rule:

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

= \frac{1 \cdot 8 a ^{3}}{16 a ^{2}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 a ^{3}}{16 a ^{2}}

Factor the number:

16 = 8 \cdot 2

= \frac{8 a ^{3}}{8 \cdot 2 a ^{2}}

Cancel the common factor:

8

= \frac{a ^{3}}{2 a ^{2}}

Simplify

\frac{a ^{3}}{a ^{2}} : a

= \frac{a}{2}

\frac{3}{2 ^{- 4}}

18 (3)

9^{2} + 2^{2}

x - \frac{2}{3}

3 \div \frac{4}{5}