1.

Simplify 2×3⁴×2⁵/3²×(2²)²​

Answer»

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

PLEASE mark me as BRAINLIEST, if this help you. Have a nice DAY...


Discussion

No Comment Found

Related InterviewSolutions