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Popular >

simplify (-4)^7*(-4)^2

Solution

simplify

(- 4)^{7} \cdot (- 4)^{2}

Solution

- 262144

Solution steps

(- 4)^{7} (- 4)^{2}

Apply exponent rule:

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

(- 4)^{7} (- 4)^{2} = (- 4)^{7 + 2}

= (- 4)^{7 + 2}

Add the numbers:

7 + 2 = 9

= (- 4)^{9}

Apply exponent rule:

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

if

n

is odd

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

= - 4^{9}

4^{9} = 262144

= - 262144

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Frequently Asked Questions (FAQ)

What is (-4)^7*(-4)^2 ?
The solution to (-4)^7*(-4)^2 is -262144