40(−2)0(13)090 (1 point)ResponsesAll the powers have a value of –1 because the exponent is zero.All the powers have a value of –1 because the exponent is zero.All the powers have a fractional value because the exponent is zero.All the powers have a fractional value because the exponent is zero.All the powers have a value of 0 because the exponent is zero.All the powers have a value of 0 because the exponent is zero.All the powers have a value of 1 because the exponent is zero.All the powers have a value of 1 because the exponent is zero.

1 answer

The correct response is: All the powers have a value of 1 because the exponent is zero.

According to the mathematical property of exponents, any non-zero number raised to the power of zero is equal to 1. However, 0 raised to the power of zero is often considered indeterminate in certain contexts, although it is commonly defined as 1 in many mathematical situations. Since all the other bases in your expression are either non-zero or zero, we focus on the non-zero bases for the conclusion that their exponents yield a value of 1.