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Popular >

simplify (-2)^3(-2)^2

Solution

simplify

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

Solution

- 32

Solution steps

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

Apply exponent rule:

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

(- 2)^{3} (- 2)^{2} = (- 2)^{3 + 2}

= (- 2)^{3 + 2}

Add the numbers:

3 + 2 = 5

= (- 2)^{5}

Apply exponent rule:

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

if

n

is odd

(- 2)^{5} = - 2^{5}

= - 2^{5}

2^{5} = 32

= - 32

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Frequently Asked Questions (FAQ)

What is (-2)^3(-2)^2 ?
The solution to (-2)^3(-2)^2 is -32