Question

question 1
1 pts
simplify. assume that no variable equals 0.
$n^5 \cdot n^2$
$n^7$
$n^{14}$
$n^3$
$2n^7$

Explanation:

Step1: Recall exponent rule

When multiplying two powers with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base is \(n\), \(m = 5\), and \(n = 2\).

Step2: Apply the rule

For \(n^5 \cdot n^2\), we add the exponents: \(5 + 2 = 7\). So \(n^5 \cdot n^2 = n^{5 + 2}=n^7\).

Answer:

A. \(n^7\)