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Popular >

simplify ((a^{2x})/(a^3))^3

Solution

simplify

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

Solution

a^{6 x - 9}

Solution steps

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

Apply exponent rule:

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

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

Simplify

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

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

Simplify

(a^{3})^{3} : a^{9}

= \frac{a ^{6 x}}{a ^{9}}

Apply exponent rule:

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

\frac{a ^{6 x}}{a ^{9}} = a^{6 x - 9}

= a^{6 x - 9}

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Frequently Asked Questions (FAQ)

What is ((a^{2x})/(a^3))^3 ?
The solution to ((a^{2x})/(a^3))^3 is a^{6x-9}