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Popular >

simplify ((a^6)/(a^3))^2

Solution

simplify

(\frac{a ^{6}}{a ^{3}})^{2}

Solution

a^{6}

Solution steps

(\frac{a ^{6}}{a ^{3}})^{2}

Apply exponent rule:

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

= \frac{( a ^{6} ) ^{2}}{( a ^{3} ) ^{2}}

Simplify

(a^{6})^{2} : a^{12}

= \frac{a ^{12}}{( a ^{3} ) ^{2}}

Simplify

(a^{3})^{2} : a^{6}

= \frac{a ^{12}}{a ^{6}}

Apply exponent rule:

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

\frac{a ^{12}}{a ^{6}} = a^{12 - 6}

= a^{12 - 6}

Subtract the numbers:

12 - 6 = 6

= a^{6}

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Frequently Asked Questions (FAQ)

What is ((a^6)/(a^3))^2 ?
The solution to ((a^6)/(a^3))^2 is a^6