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Find the value of k that makes the following expressions a true statement

Find the value of k that makes the following expressions a true statement-example-1
User Markus Weninger
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2 Answers

15 votes
15 votes
k=-2 because you need to make the value on the top equal to the value on the bottom for it to be 1, and when multiplying two numbers with the same base you add the exponents, so in this case you would need to add a number to 7 to make it 5, and that number is -2

Hope this helps
User Jim Mcnamara
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26 votes
26 votes

Answer:


k = - 2

Explanation:

Since the only variable that is present in this equation is x we can say:


\frac{ {x}^(7) * {x}^(k) }{ {x}^(5) } = 1 \\ is \: the \: same \: as \\( 7 + k )- 5 = 1 \\ 7 + k = 5 \\


k = 5 - 7 \\ k = - 2

Note that when variables are the same (like in this case where all variables were x) and they are being multiplied, we add the powers, and when the variables are being divided we subtract the powers.

User HonkyTonk
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