Answer:
Using the zero exponent property we have determined that
[tex]6\left(100^0\right)=\:6[/tex]
We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.
Step-by-step 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
[tex]6\left(100^0\right)=\:6[/tex]
Let us solve the left-hand side of the expression
[tex]6\left(100^0\right)[/tex]
remove the parentheses
[tex]6\left(100^0\right)=6\cdot \:\:100^0[/tex]
Apply the zero exponent property: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=6\cdot \:1[/tex] ∵ 100⁰ = 1
[tex]=6[/tex]
Therefore, using the zero exponent property we have determined that
[tex]6\left(100^0\right)=\:6[/tex]
We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.