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Popular >

simplify (-5^2)^3

Solution

simplify

(- 5^{2})^{3}

Solution

- 15625

Solution steps

(- 5^{2})^{3}

Apply exponent rule:

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

if

n

is odd

(- 5^{2})^{3} = - (5^{2})^{3}

= - (5^{2})^{3}

Apply exponent rule:

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

(5^{2})^{3} = 5^{2 \cdot 3}

= - 5^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - 5^{6}

5^{6} = 15625

= - 15625

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Frequently Asked Questions (FAQ)

What is (-5^2)^3 ?
The solution to (-5^2)^3 is -15625