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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 even

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

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

Apply exponent rule:

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

= 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