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

Sagot :

absor201

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.

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