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Popular >

simplify [(-5)^1]^3

Solution

simplify

[(- 5)^{1}]^{3}

Solution

- 125

Solution steps

[(- 5)^{1}]^{3}

Apply exponent rule:

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

= (- 5)^{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= (- 5)^{3}

Apply exponent rule:

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

if

n

is odd

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

= - 5^{3}

5^{3} = 125

= - 125

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Frequently Asked Questions (FAQ)

What is [(-5)^1]^3 ?
The solution to [(-5)^1]^3 is -125