Question

Using the property of exponents, what do you need to multiply 10^2 by to get 10^4 ?

Answer 1

We conclude that using the property of exponents, we need to multiply 10² to get 10⁴.

Explanation:

Let 'x' be the number we need to multiply 10² by to get 10⁴.

So the expression becomes

`10^2\:*\:x\:=\:10^4`

Divide both sides by 10²

`(10^2x)/(10^2)=(10^4)/(10^2)`

`\:x=(10^4)/(10^2)`

Apply the exponent rule:

`(x^a)/(x^b)=x^(a-b)`

so the expression becomes

`x=(10^4)/(10^2)=10^(4-2)`

`x=10^2`

Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.