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Popular >

simplify [(-3)^3]^3

Solution

simplify

[(- 3)^{3}]^{3}

Solution

- 19683

Solution steps

[(- 3)^{3}]^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

Multiply the numbers:

3 \cdot 3 = 9

= (- 3)^{9}

Apply exponent rule:

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

if

n

is odd

(- 3)^{9} = - 3^{9}

= - 3^{9}

3^{9} = 19683

= - 19683

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Frequently Asked Questions (FAQ)

What is [(-3)^3]^3 ?
The solution to [(-3)^3]^3 is -19683