Question

simplify 2×3⁴×2⁵/3²×(2²)²​

Answer 1

Answer is 36.

Step-by-step explanation:

Solve The answer step by step :

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

Now Break the fraction into fractions with same base:

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

We know that in division, if bases are same, we will subtract the smaller exponent from bigger one :

$= 2 \times {3}^{(4 - 2)} \times {2}^{(5 - 4)}$

$= {2}^{1} \times {3}^{2} \times {2}^{1}$

Now simplify the powers and convert them to normal number:

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

$= 6 \times 6$

$= 36$

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