Question

unit 2 - exponents

1. simplify using exponents:

3×3×3×3×3×3×3×3

Explanation:

Step1: Count the number of 3s

We have \(3\times3\times3\times3\times3\times3\times3\times3\). Let's count how many times 3 is multiplied. By counting, we see there are 8 factors of 3.

Step2: Apply the exponent definition

The exponent notation \(a^n\) means \(a\) multiplied by itself \(n\) times, where \(a\) is the base and \(n\) is the exponent. Here, the base \(a = 3\) and the number of times it's multiplied (the exponent \(n\)) is 8. So we can write this as \(3^8\).

Answer:

\(3^8\)