Question

Simplify:
2^4*3^5*8
——————
3^2*16

Answer 1

Answer:

$\frac{ {2}^{4} \times {3}^{5} \times 8 }{ {3}^{2} \times 16 }$

cancel 8 and 16 so we get 2

$\frac{ {2}^{4} \times {3}^{5} }{ {3}^{2} \times 2 }$

then we open powers

$\frac{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3}{3 \times 3 \times 2 }$

then after cancelling we get

$2 \times 2 \times 2 \times 3 \times 3$

which is

$48$

I win.