Question

State true or false
$(8x^3÷125y^3{)}^{\frac{2}{3}}$, then answer is $\frac{4x^2}{25y^2}$

• A. True
• B. False

Answer 1

The correct option is A True

$(8x^3÷125y^3{)}^{\frac{2}{3}}$
$=\left(\right(2x{)}^3÷(5y{)}^3{)}^{\frac{2}{3}}$
$=(\frac{2x}{5y}{)}^{\frac{2\times 3}{3}}$
$=(\frac{2x}{5y}{)}^2$
$=\frac{4x^2}{25y^2}$