What is expand ((a^2*a^9)/(a^5))^7 ?

The solution to expand ((a^2*a^9)/(a^5))^7 is a^{42}

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expand ((a^2*a^9)/(a^5))^7

expand

(\frac{a ^{2} \cdot a ^{9}}{a ^{5}})^{7}

a^{42}

Solution steps

(\frac{a ^{2} a ^{9}}{a ^{5}})^{7}

\frac{a ^{2} a ^{9}}{a ^{5}} = a^{6}

= (a^{6})^{7}

Apply exponent rule:

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

= a^{6 \cdot 7}

Multiply the numbers:

6 \cdot 7 = 42

= a^{42}

(2 - \frac{1}{n})^{2}

(1 - x 3)^{2}

\frac{( x - 4 ) ^{2}}{( x - 2 )}

\frac{6 x ^{2} - 3 x + 1}{( 4 x + 1 ) ( x ^{2} + 1 )}

(1 + 3 i)^{13}

What is expand ((a^2*a^9)/(a^5))^7 ?
The solution to expand ((a^2*a^9)/(a^5))^7 is a^{42}