Question

Natalie tried to evaluate the expression (4⁻³ . 2⁻³)⁰. Did Natalie make a mistake? If so, in which step?

1) Natalie made a mistake in the first step
2) Natalie made a mistake in the second step
3) Natalie made a mistake in the third step
4) Natalie did not make a mistake

Answer 1

Natalie did not make a mistake because any non-zero number raised to the power of zero equals one, making the expression (4⁻³ · 2⁻³)⁰ equal to 1.

Step-by-step explanation:

The expression in question is (4⁻³ · 2⁻³)⁰. In mathematics, any number (except 0) raised to the power of 0 is 1. This exponential rule applies regardless of the complexity of the base. Therefore, the expression simplifies to 1, regardless of what is inside the parentheses. There is no need to evaluate the expression within the parentheses since the entire expression is raised to the power of 0. Hence, the correct answer is 4) Natalie did not make a mistake.