Video Transcript
True or false: 24𝑥 to the power of zero is equal to 24.
In order to answer this question, we need to recall one of our laws of exponents or indices. 𝑎 to the power of zero is equal to one. Any number or letter raised to the power of zero is equal to one. We can show how this works by considering the number four raised to the powers three, two, one, and zero. We know that four to the power of three or four cubed is 64, four squared is 16, and four to the power of one is four.
As the exponent is decreasing by one, we’re dividing our answers by four. Four divided by four is equal to one. Therefore, four to the power of zero is one. In our question, we’re multiplying 24 by 𝑥 to the power of zero. As 𝑥 to the power of zero is equal to one, this is the same as 24 multiplied by one. 24𝑥 to the power of zero is equal to 24. This means that the correct answer is true.
