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1 year ago

What value of k makes the equation true?

Mathematics

2 answers:

SSSSS [86.1K]1 year ago

8 0

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

BartSMP [9]1 year ago

3 0

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

$(30)(a^{k+2})(b^{4})=30 a^{6}b^{4}$

$(a^{k+2})=a^{6}$

$k+2=6$

solve for k

$k=6-2=4$

therefore

<u>the answer is the option C</u>

$4$

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