Question

What value of k makes the equation true?

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

$4$