Which statement describes what these four powers have in common? 40 (−2)0 (13)0 90 %C2%A0 (1 point) Responses 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. 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 1 because the exponent is zero.

Question

Which statement describes what these four powers have in common?  40    (−2)0    (13)0    90   %C2%A0  (1 point) Responses  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.  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 1 because the exponent is zero.

GPT-4o mini · Answer

The correct statement is: **All the powers have a value of 1 because the exponent is zero.** According to the rules of exponents, any non-zero number raised to the power of zero equals 1. Hence, $40^0$, $(-2)^0$, $(13)^0$, and $90^0$ all equal 1.