Question

rewrite this expression as a power and select the answer from the choices.

( x cdot x cdot x cdot x cdot x )

after you pick your answer press go.
a. ( 5x )

b. ( \frac{x}{5} )

c. ( x^5 )

d. ( x + 5 )

e. ( 5^x )

Explanation:

Step1: Recall exponent definition

An expression with repeated multiplication of the same base \( x \) can be written as a power. The base is \( x \), and the number of times it's multiplied is the exponent. Here, \( x \) is multiplied 5 times.

Step2: Apply exponent rule

The rule for writing repeated multiplication as a power is \( \underbrace{x \cdot x \cdot \dots \cdot x}_{n\text{ times}} = x^n \). For \( n = 5 \), we have \( x \cdot x \cdot x \cdot x \cdot x = x^5 \).

Answer:

C. \( x^5 \)