How do you simplify ((3x^2)/2)^2?

Nov 7, 2016

Answer:

${\left(\frac{3 {x}^{2}}{2}\right)}^{2} = \frac{9 {x}^{4}}{4} = \frac{9}{4} {x}^{4}$

Explanation:

Distribute the exponent to the numerator and denominator:
${\left(\frac{3 {x}^{2}}{2}\right)}^{2}$
$= {\left(3 {x}^{2}\right)}^{2} / {\left(2\right)}^{2}$
Distribute the exponents to each term within the brackets:
$\frac{9 {x}^{4}}{4}$