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Popular >

simplify ((-4)^9)^9

Solution

simplify

((- 4)^{9})^{9}

Solution

- 4^{81}

+1

Solution steps

((- 4)^{9})^{9}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (- 4)^{9 \cdot 9}

Multiply the numbers:

9 \cdot 9 = 81

= (- 4)^{81}

Apply exponent rule:

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

if

n

is odd

(- 4)^{81} = - 4^{81}

= - 4^{81}

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Frequently Asked Questions (FAQ)

What is ((-4)^9)^9 ?
The solution to ((-4)^9)^9 is -4^{81}