What is ((2^2*3^5*4^2)/(2^4*3^2))^2 ?

The solution to ((2^2*3^5*4^2)/(2^4*3^2))^2 is 11664

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simplify ((2^23^54^2)/(2^4*3^2))^2

simplify

(\frac{2 ^{2} \cdot 3 ^{5} \cdot 4 ^{2}}{2 ^{4} \cdot 3 ^{2}})^{2}

11664

Solution steps

(\frac{2 ^{2} \cdot 3 ^{5} \cdot 4 ^{2}}{2 ^{4} \cdot 3 ^{2}})^{2}

Apply exponent rule:

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

= \frac{( 2 ^{2} \cdot 3 ^{5} \cdot 4 ^{2} ) ^{2}}{( 2 ^{4} \cdot 3 ^{2} ) ^{2}}

(2^{2} \cdot 3^{5} \cdot 4^{2})^{2} = 241864704

= \frac{241864704}{( 2 ^{4} \cdot 3 ^{2} ) ^{2}}

(2^{4} \cdot 3^{2})^{2} = 20736

= \frac{241864704}{20736}

Divide the numbers:

\frac{241864704}{20736} = 11664

= 11664

9 - 11

7 x + x

lo g_{9} (25)

\frac{4}{11}

What is ((2^2*3^5*4^2)/(2^4*3^2))^2 ?
The solution to ((2^2*3^5*4^2)/(2^4*3^2))^2 is 11664