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Popular >

simplify 5d^2(-d^{-3})^{-2}

Solution

simplify

5 d^{2} (- d^{- 3})^{- 2}

Solution

5 d^{8}

Solution steps

5 d^{2} (- d^{- 3})^{- 2}

Simplify

(- d^{- 3})^{- 2} : d^{6}

= 5 d^{2} d^{6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

d^{2} d^{6} = d^{2 + 6}

= 5 d^{2 + 6}

Add the numbers:

2 + 6 = 8

= 5 d^{8}

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Frequently Asked Questions (FAQ)

What is 5d^2(-d^{-3})^{-2} ?
The solution to 5d^2(-d^{-3})^{-2} is 5d^8