How do you simplify (f^-3g^2)/(h^-4)f3g2h4?

2 Answers
Jul 15, 2018

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color(red)((f^-3g^2)/(h^-4)=1/(f^3) * h^4*g^2f3g2h4=1f3h4g2

Explanation:

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We are given the expression:

color(red)((f^-3g^2)/(h^-4)f3g2h4

Formula used:

color(blue)(a^(-b)=1/a^bab=1ab

color(blue)(1/(1/a) = a11a=a

Using this formula, we can write

f^(-3) = 1/f^3f3=1f3

h^(-4)=1/h^4h4=1h4

Hence, we get

color(red)((f^-3g^2)/(h^-4)=1/(f^3) * h^4*g^2f3g2h4=1f3h4g2

Hope it helps.

Jul 15, 2018

nothing cancels down as they are three different variables

But a^-b=1/a^bab=1ab so we can rewrite the expression with no negative powers

(f^-3g^2)/(h^-4)=(g^2h^4)/f^3f3g2h4=g2h4f3