Question

Simplify the expression below (2x)^3/4 • (2x)^4/3​

Answer 1

$\dashrightarrow\sf(2x)^{ \frac{3}{4} }.(2x)^{ \frac{4}{3}}$

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

$\dashrightarrow\sf(2x)^{ \frac{3}{4} + \frac{4}{3} }$

$\dashrightarrow\sf(2x)^{\frac{\frac{3 \times 12}{4} +\frac{4 \times 12}{3}}{12}}$

$\dashrightarrow\sf(2x)^{\frac{\frac{3 \times \cancel{12}}{\cancel4} +\frac{4 \times\cancel{12}}{\cancel3}}{12}}$

$\dashrightarrow\sf(2x)^{\frac{\frac{3 \times 3}{1} +\frac{4 \times4}{1}}{12}}$

$\dashrightarrow\sf(2x)^{\frac{3 \times 3+4 \times4}{12}}$

$\dashrightarrow\sf(2x)^{\frac{9+16}{12}}$

$\dashrightarrow\sf(2x)^{\frac{25}{12}}$