Question

Evaluate (3/4 )³ × (2/3)²​

Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Evaluate ${( \frac{3}{4}) }^{3} \times {( \frac{2}{3}) }^{2}$

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

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

$= \frac{ {3}^{3} \times {2}^{2} }{ {2}^{6} \times {3}^{2} }$

$= \frac{ {3}^{ 3 - 2} }{ {2}^{6 - 2} }$

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

$= \frac{3}{16}$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $\frac{3}{16}$

Answer 2

$\frac{3}{16}$

Step-by-step explanation:

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

$\frac{3³}{4³} × \frac{2²}{3²}$

$\frac{3³}{2⁶} × \frac{2²}{3²}$

$\frac{(3³ × 2²)}{(2⁶ × 3²)}$

$\frac{3}{2⁴}$

$\frac{3}{16}$