What is (-0.6)^{-4}*(-0.6)^{-7}*(-0.6)^{15} ?

The solution to (-0.6)^{-4}*(-0.6)^{-7}*(-0.6)^{15} is 0.1296

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simplify (-0.6)^{-4}(-0.6)^{-7}(-0.6)^{15}

simplify

(- 0.6)^{- 4} \cdot (- 0.6)^{- 7} \cdot (- 0.6)^{15}

0.1296

Solution steps

(- 0.6)^{- 4} (- 0.6)^{- 7} (- 0.6)^{15}

Apply exponent rule:

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

(- 0.6)^{- 4} (- 0.6)^{- 7} (- 0.6)^{15} = (- 0.6)^{- 4 - 7 + 15}

= (- 0.6)^{- 4 - 7 + 15}

Add/Subtract the numbers:

- 4 - 7 + 15 = 4

= (- 0.6)^{4}

Apply exponent rule:

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

n

is even

(- 0.6)^{4} = 0. 6^{4}

= 0. 6^{4}

0. 6^{4} = 0.1296

= 0.1296

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What is (-0.6)^{-4}*(-0.6)^{-7}*(-0.6)^{15} ?
The solution to (-0.6)^{-4}*(-0.6)^{-7}*(-0.6)^{15} is 0.1296