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What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =

User Wrdeman
by
5.3k points

2 Answers

5 votes

Answer:

4

Explanation:

just did it

User Borislav Markov
by
5.0k points
6 votes

Answer:

n =4

Explanation:

6x^n• 4x^2=24x^6

Combine like terms

24 x^n *x^2 = 24 x^6

We know that a^b * a^c = a^(b+c)

24 x^(n +2) = 24 x^6

Divide each side by 24

x^(n +2) = x^6

The bases are the same so the exponents are the same

n+2 = 6

Subtract 2

n+2-2 = 6-2

n=4

User Peter Huber
by
5.6k points