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Popular >

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

Solution

simplify

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

Solution

- 243

Solution steps

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

Apply exponent rule:

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

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

= (- 3)^{2 + 3}

Add the numbers:

2 + 3 = 5

= (- 3)^{5}

Apply exponent rule:

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

if

n

is odd

(- 3)^{5} = - 3^{5}

= - 3^{5}

3^{5} = 243

= - 243

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Frequently Asked Questions (FAQ)

What is (-3)^2*(-3)^3 ?
The solution to (-3)^2*(-3)^3 is -243