Zero Power Rule of Exponents Quick Check

Question

Which of the following is developed to result in the answer of 1? (1 point)

A. 13 - (7.42)^0
B. (-2.97)^0
C. 3 (8^0)
D. 5^0 + 9^0

Answer 1

The zero power rule of exponents states that any non-zero number raised to the power of zero equals 1. Let's evaluate each option:

A. \( 13 - (7.42)^0 \)
\( (7.42)^0 = 1 \)
So, \( 13 - 1 = 12 \) (not 1)

B. \( (-2.97)^0 \)
\( (-2.97)^0 = 1 \) (valid since the base is non-zero)

C. \( 3 (8^0) \)
\( 8^0 = 1 \), so \( 3 \times 1 = 3 \) (not 1)

D. \( 5^0 + 9^0 \)
\( 5^0 = 1 \) and \( 9^0 = 1 \), so \( 1 + 1 = 2 \) (not 1)

The only option that evaluates to 1 is:

B. \( (-2.97)^0 \)