If x2=y3, what is the value of z does x3z=y9?

If x² = y³ , for what value of z does =    ?

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

=     -----------------------------------------------------------------(1)

but   applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

 =

replace    by    in equation (1)

=  

=     --------------------------------------------------------------------(2)

but  from the question x² = y³

replace y³ by x²  in equation (2)

=  

=  

=  

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3  at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

10

step-by-step explanation:

answer: 100

step-by-step explanation: