Question

What value of k makes the equation true?

(5a²b³)(6a^k(b))=30a^6(b^4)

A)2
B)3
C)4
D)8

Answer 1

when you multiply exponents, Your add them so you need to add 4 and 2 to get 6. The answer would be C

Answer 2

we have

`(5a^(2) b^(3) )(6a^(k)b)=30 a^(6)b^(4)`

Multiply the left side and then compare with the right side

`(5a^(2) b^(3) )(6a^(k)b)`

Combine like terms

`(5*6)(a^(2)*a^(k))(b^(3)*b)\\=(30)(a^(k+2))(b^(4))`

Compare with the right side

`(30)(a^(k+2))(b^(4))=30 a^(6)b^(4)`

so

`(a^(k+2))=a^(6)`

`k+2=6`

solve for k

`k=6-2=4`

therefore

the answer is the option C

`4`