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Popular >

simplify (-2)^4(-2)^2

Solution

simplify

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

Solution

64

Solution steps

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

Apply exponent rule:

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

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

= (- 2)^{4 + 2}

Add the numbers:

4 + 2 = 6

= (- 2)^{6}

Apply exponent rule:

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

if

n

is even

(- 2)^{6} = 2^{6}

= 2^{6}

2^{6} = 64

= 64

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Frequently Asked Questions (FAQ)

What is (-2)^4(-2)^2 ?
The solution to (-2)^4(-2)^2 is 64