Question

Why is 6(100^0)= 6? Include the zero exponent property in your answer

Answer 1

Using the zero exponent property we have determined that

`6\left(100^0\right)=\:6`

We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.

Explanation:

Zero exponent rule

We know that the zero exponent rule defines that any number raised to a power of zero will be equal to 1.

Given the expression

`6\left(100^0\right)=\:6`

Let us solve the left-hand side of the expression

`6\left(100^0\right)`

remove the parentheses

`6\left(100^0\right)=6\cdot \:\:100^0`

Apply the zero exponent property:
`a^0=1,\:a\\e \:0`

`=6\cdot \:1` ∵ 100⁰ = 1

`=6`

Therefore, using the zero exponent property we have determined that

`6\left(100^0\right)=\:6`

We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.