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

The solution to (-4a^2)(2a^{-3})^{-4} is -(a^{14})/4

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

simplify

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

- \frac{a ^{14}}{4}

Solution steps

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

Apply rule:

(- a) = - a

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

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

Simplify

(2 a^{- 3})^{- 4} : \frac{a ^{12}}{16}

= - 4 a^{2} \frac{a ^{12}}{16}

Apply the fraction rule:

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

= - \frac{4 a ^{2} a ^{12}}{16}

Cancel

- \frac{4 a ^{2} a ^{12}}{16} : - \frac{a ^{2} a ^{12}}{4}

= - \frac{a ^{2} a ^{12}}{4}

Simplify

a^{2} a^{12} : a^{14}

= - \frac{a ^{14}}{4}

8 + x > 31

2 \cdot 5 - 2 \cdot 5 + 2 \cdot 2 \cdot 5 + 10

z + z = 4

z^{2} + 5 z - 6

- x^{2} - 4 x + 21

What is (-4a^2)(2a^{-3})^{-4} ?
The solution to (-4a^2)(2a^{-3})^{-4} is -(a^{14})/4