Q:

1. Simplify (4xy^2)^3(xy)^5 2. Simplify (2t^–3)^3(0.4r)^2 Thank you whoever answers so much!,

Accepted Solution

A:
The rules of exponents are:
multiplication=add the exponents
x^2.x^3=x^5
power=multiply the exponents
(x^2)^3=x^6

1. (4xy^2)^3(xy)^5
    (64x^3y^6)(x^5y^5)
    64x^8y^11
2. (2t^-3)^3(0.4r)^2
    (8t^-9)(0.16r^2)
    0.16r^2/8t^9 or r^2/50t^9