help with exponential form

Question

write in exponential form and simplify

 

 

    ₃√x^5y^5

 

 

    ₃√x^2y 

 

 

    ₃ √a • ₅√a

 

 

 

write in exponential form

 

    log ₄ 32 = x

 

   log ₁₀ 0.01 = -2

 

    log _a b = 2

 

 

 

 

   

Answer 1

3√x^5*y^5 = 3√x^4*y^4*x*y = 3*x^2*y^2*√x*y =3*x^2*y^2*(x*y)^0.5

3√x^2*Y = 3*x*√y = 3*x*y^0.5

3√a * 5√a = 15√a^2 =15*a

4^x =32

10^-2 = 0.01

a^2=b

CHECK!!!!!!!!!!!!!!!!!