Question

evaluate expressions
evaluate each expression.
a. 2^4
2^4 = 2·2·2·2 = 16
use 2 as a factor 4 times. multiply.
b. 4^5
4^5 = 4·4·4·4·4 = 1024
use 4 as a factor 5 times. multiply.
think about it!
in example b, what does the power of 5 suggest?

Explanation:

Step1: Recall exponent definition

The exponent \(a^n\) means multiplying \(a\) by itself \(n\) times. For \(4^5\), \(a = 4\) and \(n=5\), so \(4^5=4\times4\times4\times4\times4\).

Step2: Perform multiplication

\(4\times4 = 16\), \(16\times4=64\), \(64\times4 = 256\), \(256\times4=1024\).

The power of 5 in \(4^5\) suggests that the base - number 4 is used as a factor 5 times in the multiplication operation.

Answer:

The power of 5 in \(4^5\) means that 4 is multiplied by itself 5 times.