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Popular >

simplify [(-7)^3]^3

Solution

simplify

[(- 7)^{3}]^{3}

Solution

- 40353607

Solution steps

[(- 7)^{3}]^{3}

Apply exponent rule:

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

= (- 7)^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= (- 7)^{9}

Apply exponent rule:

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

if

n

is odd

(- 7)^{9} = - 7^{9}

= - 7^{9}

7^{9} = 40353607

= - 40353607

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Frequently Asked Questions (FAQ)

What is [(-7)^3]^3 ?
The solution to [(-7)^3]^3 is -40353607