Question

Simplify the expression. (x)2(2xy3)5 a. 2x^3y15 b. 32x^7y8 c. 32x^7y15 d. 10x^3y8

Answer 1

`(x^2)\left(2xy^3\right)^5=(x^2)\left(2^5x^5y^(3\cdot5)\right)=(x^2)(32x^5y^(15))\\\\=32x^(2+5)y^(15)=\boxed{32x^7y^(15)}\to\boxed{c.}`

Answer 2

c

Explanation:

We can solve and simply the expression using the product rule for the following expression:

`=x^2*(2*x*y^5)^5`

If x is multiplied by a x we can add their exponents, if a bracket has an exponent we can multiply the exponent with the exponent of each term in the bracket.

`=x^2*(2^5*x^5*y^15)`

`=32*x^7*y^15`

Therefore the answer is c