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# [Smart Math] Arithmetic Problem 15

Here’s and example of a SMART MATH problem for ARITHMETIC.

### Problem

$\frac{2^{5}\times 9^{2}}{8^{2}\times 3^{3}}=?$

1. $\frac{1}{6}$
2. $\frac{2}{3}$
3. $\frac{3}{2}$
4. $\frac{6}{1}$
5. $\frac{1}{8}$

### The Usual Method

$\frac{2^{5}\times 9^{2}}{8^{2}\times 3^{3}}=\frac{2^{5}\times \left( 3^{2} \right)^{2}}{\left( 2^{3} \right)^{2}\times 3^{3}}=\frac{2^{5}\times 3^{4}}{2^{6}\times 3^{3}}=\frac{3}{2}$

(Ans: 3)

Estimated Time to arrive at the answer = 30 seconds.