Question

simplify. \frac{a^{7}}{a^{2}}

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base \( a^m \div a^n=a^{m - n} \), here \( m = 7 \), \( n=2 \) and base \( a \).
$$\frac{a^{7}}{a^{2}}=a^{7 - 2}$$

Step2: Subtract the exponents

Calculate \( 7-2 = 5 \), so \( a^{7-2}=a^{5} \).

Answer:

\( a^{5} \)