Question

Explain why the expressions 15 Superscript 0​, 1 Superscript 4​, and 1 times 1.0 Superscript 0 have the same value.
Question content area bottom
Part 1
Choose the correct answer below.
A.
They are all equal to 10. Any​ non-zero power with an exponent of zero has a value of 10 and 1 Superscript 4equals10.
B.
They are all equal to 1. Any​ non-zero power with an exponent of zero has a value of 1 and 1 Superscript 4equals1.
C.
They are all equal to negative 1. Any​ non-zero power with an exponent of zero has a value of negative 1 and 1 Superscript 4equalsnegative 1.
D.
They are all equal to 0. Any​ non-zero power with an exponent of zero has a value of 0 and 1 Superscript 4equals0

Answer 1

B.

Any nonzero number raised to the 0 power equals 1, so 15^0 = 1. Also 1^4 = 1 (1 to any power is 1), and 1·(1.0^0) = 1·1 = 1. (Note: 0^0 is undefined, but that case doesn’t appear here.)