Question

1. write a simplified expression using exponents. 8^3 · 8^10 = 8^30

Explanation:

Step1: Recall exponent - multiplication rule

When multiplying two exponential expressions with the same base \(a^m\cdot a^n=a^{m + n}\), where \(a = 8\), \(m = 3\) and \(n=10\).
\[8^{3}\cdot8^{10}=8^{3 + 10}\]

Step2: Calculate the sum of exponents

\(3+10 = 13\), so \(8^{3+10}=8^{13}\)

Answer:

\(8^{13}\)