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Popular >

simplify (-(2a)/(b^4))^4

Solution

simplify

(- \frac{2 a}{b ^{4}})^{4}

Solution

\frac{16 a ^{4}}{b ^{16}}

Solution steps

(- \frac{2 a}{b ^{4}})^{4}

Apply exponent rule:

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

if

n

is even

(- \frac{2 a}{b ^{4}})^{4} = (\frac{2 a}{b ^{4}})^{4}

= (\frac{2 a}{b ^{4}})^{4}

Apply exponent rule:

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

= \frac{( 2 a ) ^{4}}{( b ^{4} ) ^{4}}

Simplify

(2 a)^{4} : 16 a^{4}

= \frac{16 a ^{4}}{( b ^{4} ) ^{4}}

Simplify

(b^{4})^{4} : b^{16}

= \frac{16 a ^{4}}{b ^{16}}

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Frequently Asked Questions (FAQ)

What is (-(2a)/(b^4))^4 ?
The solution to (-(2a)/(b^4))^4 is (16a^4)/(b^{16)}