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Popular >

simplify ((a^4x^y)/(c^{k-2)})^b

Solution

simplify

(\frac{a ^{4} x ^{y}}{c ^{k - 2}})^{b}

Solution

\frac{a ^{4 b} x ^{y b}}{c ^{(k - 2) b}}

Solution steps

(\frac{a ^{4} x ^{y}}{c ^{k - 2}})^{b}

Apply exponent rule:

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

= \frac{( a ^{4} x ^{y} ) ^{b}}{( c ^{k - 2} ) ^{b}}

Simplify

(a^{4} x^{y})^{b} : a^{4 b} x^{y b}

= \frac{a ^{4 b} x ^{y b}}{( c ^{k - 2} ) ^{b}}

Apply exponent rule:

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

assuming

a \geq 0

(c^{k - 2})^{b} = c^{(k - 2) b}

= \frac{a ^{4 b} x ^{y b}}{c ^{(k - 2) b}}

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Frequently Asked Questions (FAQ)

What is ((a^4x^y)/(c^{k-2)})^b ?
The solution to ((a^4x^y)/(c^{k-2)})^b is (a^{4b}x^{yb})/(c^{(k-2)b)}