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Popular >

simplify (-3^2)^3

Solution

simplify

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

Solution

- 729

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

= - 3^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - 3^{6}

3^{6} = 729

= - 729

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Frequently Asked Questions (FAQ)

What is (-3^2)^3 ?
The solution to (-3^2)^3 is -729