Question

what value of (n) makes the statement true?
(6x^n \cdot 4x^2 = 24x^6)

(n = )

Explanation:

Multiply the coefficients and add exponents

$$ (6 \cdot 4) \cdot (x^n \cdot x^2) = 24x^6 $$

$$ 24x^{n+2} = 24x^6 $$

Equate the exponents of like bases

$$ n + 2 = 6 $$

Solve for n

$$ n = 4 $$

Answer:

What value of \(n\) makes the statement true?
\(6x^n \cdot 4x^2 = 24x^6\)

\(n =\) <blank>4</blank>