2^x =a 3^y =b : 6^(xy) =? ⇒6^(xy) =(2×3)^(xy) ⇒2^(xy) ×3^(xy) ⇒(2^x )^y ×(3^y )^x ⇒a^y ×b^x


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Question Number 185414 by Safiullah_21 last updated on 21/Jan/23

$2^{x} = a$ $3^{y} = b : 6^{x y} = ?$ $\Rightarrow 6^{x y} = {(2 \times 3)}^{x y} \Rightarrow 2^{x y} \times 3^{x y} \Rightarrow {(2^{x})}^{y} \times {(3^{y})}^{x} \Rightarrow a^{y} \times b^{x}$
Commented by mr W last updated on 21/Jan/23

$i s a^{y} b^{x} b e t t e r t h a n 6^{x y} ?$
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