Understanding Exponents: Why x^0 = 1

The video tutorial explains why any non-zero number raised to the power of zero equals one. It uses the example of five to the power of zero, replacing the zero exponent with one minus one. By applying the product property of exponents, it shows that five to the power of zero can be expressed as five to the first power times five to the negative first power. This results in a calculation of five times one-fifth, which equals one, thus verifying the rule.

What is the main concept introduced at the beginning of the video?

• Why x^0 equals x

• Why x^0 equals infinity

• Why x^0 equals one

• Why x^0 equals zero

How is the expression 5^0 initially rewritten using exponent properties?

• As 5^1 + 5^(-1)

• As 5^(1+1)

• As 5^(1-1)

• As 5^1 - 5^(-1)

What property of exponents is used to rewrite 5^(1-1)?

• Zero property

• Quotient property

• Product property

• Power property

What is the value of 5^1 in the verification process?

• 10

• 0

• 5

• 1

What is the final result of multiplying 5 by 1/5 in the verification?

• 0

• 10

• 5

• 1