Distributive property 12kn+8k

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

7 0

4k(3n+2) this is basically just factoring out a common multiple which in this case is a k and a 4

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Find k and help with the equation!

anzhelika [568]

<h3>Answer: k = 6+10x</h3>

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Work Shown:

$64*4^{5x}\\\\\left(2^6\right)*\left(2^{2}\right)^{5x}\\\\\left(2^6\right)*\left(2^{2*5x}\right)\\\\\left(2^6\right)*\left(2^{10x}\right)\\\\2^{6+10x}\\\\$

The result is in the form $2^k$ with k = 6+10x

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Explanation:

First we need to get everything as an exponential expression with a base 2.

We rewrite 64 as $2^6$ and 4 as $2^2$ in the second step.

In the third step, I used the rule $(a^b)^c = a^{b*c}$ which says to multiply the exponents together. That's how I went from $(2^2)^{5x}$ to $2^{2*5x}$ . Then the 2*5x in the exponent becomes 10x.