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Bezzdna [24]
3 years ago
10

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

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

n =4

Step-by-step 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

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