Question

tell whether n = 3 makes each equation true. \\(\frac{8^5}{8^n} = 8^2\\) ? true false

Explanation:

Step1: Recall exponent rule

When dividing exponents with the same base, we use the rule $\frac{a^m}{a^n}=a^{m - n}$. For $\frac{8^5}{8^n}$, this becomes $8^{5 - n}$.

Step2: Substitute n = 3

Substitute $n = 3$ into $8^{5 - n}$, we get $8^{5 - 3}=8^2$.

Step3: Compare with right side

The right side of the equation is $8^2$, so when $n = 3$, the left side $\frac{8^5}{8^3}$ equals the right side $8^2$.

Answer:

true