Question

What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4

Answer 1

An equation is formed when two equal expressions. The value of k that makes the equation true is 4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of k that will make the equation true is,

$5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 = 30\ a^6\ b^4\\\\a^{(2+k)} =a^6\\\\2+k = 6 \\\\ k = 4$

Hence, The value of k that makes the equation true is 4.

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