Question

simplyfy please give correct answer now​

Answer 1

The answer is 36.

$2 \times 3 {}^{2} \times 2 = 2 {}^{2} \times 3 {}^{2} = 36$

Answer 2

$\large\sf\underline{Given\::}$

• $\large\bf\:\frac{2 \times 3^{4} \times 2^{5}}{3^{2} \times (2^{2}) ^{2}}$

‎

‎

$\large\sf\underline{To\::}$

• Simplify the given expression

‎

‎

$\large\sf\underline{Solution\::}$

$\bf\:\frac{2 \times 3^{4} \times 2^{5}}{3^{2} \times (2^{2}) ^{2}}$

‎

$\sf\dashrightarrow\:\frac{2 \times 3^{4} \times 2^{5}}{3^{2} \times (2^{2 \times 2})}$

‎

$\sf\dashrightarrow\:\frac{2 \times 3^{4} \times 2^{5}}{3^{2} \times (2^{4})}$

‎

$\sf\dashrightarrow\:\frac{2^{1} \times 3^{4} \times 2^{5}}{3^{2} \times (2^{4})}$

‎

$\sf\dashrightarrow\:\frac{2^{1+5} \times 3^{4}}{3^{2} \times (2^{4})}$

‎

$\sf\dashrightarrow\:\frac{2^{6} \times 3^{4}}{3^{2} \times (2^{4})}$

‎

$\sf\dashrightarrow\:\frac{2^{6-4} \times 3^{4}}{3^{2}}$

‎

$\sf\dashrightarrow\:2^{2} \times 3^{4-2}$

‎

$\sf\dashrightarrow\:2^{2} \times 3^{2}$

‎

$\sf\dashrightarrow\:2 \times 2 \times 3 \times 3$

‎

$\sf\dashrightarrow\:4 \times 9$

‎

★ $\small\fbox\red{36}$

‎

_____________________________

‎

$\large\sf\underline{Concept\:used\::}$

• $\sf\:(a^{m})^{n}=a^{m \times n} = a^{mn}$

‎

• $\sf\:\frac{a^{m}}{a^{n}}=a^{m-n}$

‎

• $\sf\:a^{m} \times a^{n} = a^{m+n}$

‎

_____________________________

!! Hope it helps !!