7. Simplify

 

(3(x^2)2(y^3))^4

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

 

(3^4)((x^2)^4)(2^4)((x^3)^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.

 

(81x^8)(16y^12)

 

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

 

1296x^8y^12