Question

What is the value of 1 raised to the power of any exponent? What is the value of 0 raised to the power of any non-negative non-zero exponent? Complete the explanation. The value of 1 raised to any power is . 1 multiplied by itself any number of times is . The value of 0 raised to any non-negative non-zero power is . 0 multiplied by itself any number of times is .

Answer 1

See explanation.

Explanation:

Raising a number to a power means to multiply it by itself. x raised to a power of 2, or x squared, means x * x. Raising to a higher exponent, such as 3, means x * x * x or x cubed.

The reason that 1 raised to any power is 1 is because 1 times 1 equal 1. You can carry this out forever: 1 * 1 * 1... *1 = 1.

The reason that 0 raised to any power is zero, is that 0 times 0 equal 0. You can carry this out forever as well: 0 * 0 * 0... *0 = 0.