Question

Which expression is equivalent to (4x^3*y^5)(3x^5*y)^2 \

A) 24x^13*y^7
B) 36x^13*y^7
C) 36x^28*y^7
D) 144x^16*y^12

Answer 1

B) 36x^13*y^7

Explanation:

The two rules of exponents that apply are ...

• (a^b)^c = a^(b·c)
• (a^b)(a^c) = a^(b+c)

Expanding the second factor gives ...

(4x^3*y^5)(3^2*x^(5*2)*y^2)

= 36*x^(3+10)*y^(5+2)

= 36x^13*y^7 . . . . . . matches selection B