Question

8·8¹⁵, options: 8¹⁵, 8¹⁶, 64¹⁵, 64¹⁶

Explanation:

Step1: Recall the exponent rule $a^m \cdot a^n = a^{m + n}$

We have $8 \cdot 8^{15}$, where $a = 8$, $m = 1$ (since $8 = 8^1$) and $n = 15$.

Step2: Apply the exponent rule

Using the rule $a^m \cdot a^n = a^{m + n}$, we get $8^{1 + 15}=8^{16}$.

Answer:

$8^{16}$ (corresponding to the purple option with $8^{16}$)