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

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Absor201idn

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.

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