# algebra,math

posted by
**jasmine20** on
.

i am clueless about this:

(#1)What expression raised to the fourth power is 81x^12y^8z^16?

(#2)Simplify each of the following expressions. Write your answers with positive exponents only.

(x^2)^-3(x^-2) divided by (x^2)^-4

#1 answer (3x^3)(y^2)(z^4)

because 3^4=81

(x^3)^4=x^12 multiply powers

(y^2)^4=y^8 "

(z^4)^4=z^16 "

#2answer is 1

because (x^2)^-3=x^-6 mulityply powers

(x^-6)(x^-2)=x^-8 add powers

(x^2)^-4=x^-8 multiply powers

(x^-8)/(x^-8)= x^0 subtract powers and any number to the power of zero is 1

(x^-8)/(x

thank you for explaining them to me.