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Popular >

simplify ((a^4)/(a^1))^2

Solution

simplify

(\frac{a ^{4}}{a ^{1}})^{2}

Solution

a^{6}

Solution steps

(\frac{a ^{4}}{a ^{1}})^{2}

Apply exponent rule:

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

= \frac{( a ^{4} ) ^{2}}{( a ^{1} ) ^{2}}

Simplify

(a^{4})^{2} : a^{8}

= \frac{a ^{8}}{( a ^{1} ) ^{2}}

Simplify

(a^{1})^{2} : a^{2}

= \frac{a ^{8}}{a ^{2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{a ^{8}}{a ^{2}} = a^{8 - 2}

= a^{8 - 2}

Subtract the numbers:

8 - 2 = 6

= a^{6}

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Frequently Asked Questions (FAQ)

What is ((a^4)/(a^1))^2 ?
The solution to ((a^4)/(a^1))^2 is a^6