Question

if you have 10 factors of x all multiplied together, which exponent expression represents this?
10x
x⁰
x + 10
x¹⁰

Explanation:

Step1: Recall exponent definition

An exponent represents the number of times a base is multiplied by itself. So, \( n \) factors of \( x \) multiplied together is \( x^n \).

Step2: Apply to the problem

Here, we have 10 factors of \( x \) multiplied together. Using the exponent definition, this is \( x^{10} \). Let's analyze other options:

• \( 10x \) is 10 times \( x \) (multiplication, not repeated multiplication of \( x \) by itself 10 times).
• \( x^0 = 1 \) (any non - zero number to the power of 0 is 1), which is not 10 factors of \( x \) multiplied.
• \( x + 10 \) is the sum of \( x \) and 10, not a product of 10 factors of \( x \).

Answer:

\( \boldsymbol{x^{10}} \) (the option with \( x^{10} \))