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Popular >

simplify (-x^4)^5

Solution

simplify

(- x^{4})^{5}

Solution

- x^{20}

Solution steps

(- x^{4})^{5}

Apply exponent rule:

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

if

n

is odd

(- x^{4})^{5} = - (x^{4})^{5}

= - (x^{4})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(x^{4})^{5} = x^{4 \cdot 5}

= - x^{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= - x^{20}

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Frequently Asked Questions (FAQ)

What is (-x^4)^5 ?
The solution to (-x^4)^5 is -x^{20}