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Popular >

simplify (-2)^2(-2)^3(-2)^4

Solution

simplify

(- 2)^{2} \cdot (- 2)^{3} \cdot (- 2)^{4}

Solution

- 512

Solution steps

(- 2)^{2} (- 2)^{3} (- 2)^{4}

Apply exponent rule:

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

(- 2)^{2} (- 2)^{3} (- 2)^{4} = (- 2)^{2 + 3 + 4}

= (- 2)^{2 + 3 + 4}

Add the numbers:

2 + 3 + 4 = 9

= (- 2)^{9}

Apply exponent rule:

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

if

n

is odd

(- 2)^{9} = - 2^{9}

= - 2^{9}

2^{9} = 512

= - 512

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Frequently Asked Questions (FAQ)

What is (-2)^2*(-2)^3*(-2)^4 ?
The solution to (-2)^2*(-2)^3*(-2)^4 is -512