Question

name: eli
topic 3 test corrections

1. write each expression using an exponen

a. 12×12×12×12×12

b. 3×3×3

1. evaluate each expression.

Explanation:

Part a

Step1: Identify base and exponent

The base is 12, and it is multiplied 5 times (since \(12\times12\times12\times12\times12\) has five 12s).

Step2: Write in exponential form

Using the formula \(a\times a\times\cdots\times a\) (n times) \(=a^n\), here \(a = 12\) and \(n = 5\), so the expression is \(12^5\).

Part b

Step1: Identify base and exponent

The base is 3, and it is multiplied 3 times (since \(3\times3\times3\) has three 3s).

Step2: Write in exponential form

Using the formula \(a\times a\times\cdots\times a\) (n times) \(=a^n\), here \(a = 3\) and \(n = 3\), so the expression is \(3^3\).

Answer:

a. \(12^5\)
b. \(3^3\)