7. Simplify

(3x22y3)4

When raising a product to a power, raise each factor to that power.

34(x2)424(y3)4

The coefficients are all raised to the power outside the parentheses. When we raise the variable factors to the power on top of the parentheses, we are raising a power to a power. In that case we multiply the powers.

81x816y12

Multiply the coefficients. (16)(81) = 1296

1296 x8y12