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Popular >

simplify (-(x^5)/2)^4

Solution

simplify

(- \frac{x ^{5}}{2})^{4}

Solution

\frac{x ^{20}}{16}

Solution steps

(- \frac{x ^{5}}{2})^{4}

Apply exponent rule:

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

if

n

is even

(- \frac{x ^{5}}{2})^{4} = (\frac{x ^{5}}{2})^{4}

= (\frac{x ^{5}}{2})^{4}

Apply exponent rule:

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

= \frac{( x ^{5} ) ^{4}}{2 ^{4}}

Simplify

(x^{5})^{4} : x^{20}

= \frac{x ^{20}}{2 ^{4}}

2^{4} = 16

= \frac{x ^{20}}{16}

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Frequently Asked Questions (FAQ)

What is (-(x^5)/2)^4 ?
The solution to (-(x^5)/2)^4 is (x^{20})/(16)