Answer:
We conclude that using the property of exponents, we need to multiply 10² to get 10⁴.
Step-by-step explanation:
Let 'x' be the number we need to multiply 10² by to get 10⁴.
So the expression becomes
[tex]10^2\:\times\:x\:=\:10^4[/tex]
Divide both sides by 10²
[tex]\frac{10^2x}{10^2}=\frac{10^4}{10^2}[/tex]
[tex]\:x=\frac{10^4}{10^2}[/tex]
Apply the exponent rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
so the expression becomes
[tex]x=\frac{10^4}{10^2}=10^{4-2}[/tex]
[tex]x=10^2[/tex]
Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.
