Respuesta :

Answer:

B. 10^(-2)

Step-by-step explanation:

100 =10²

1/100 = 1/10² = 10 ^(-2)

1/100 can be written as [tex]10^{-2}[/tex]a single power.

As we know that 100 is the multiplication of 10 and 10.

100 =10*10

So, [tex]\frac{1}{100} = \frac{1}{10*10}[/tex]

We know that the multiplication of 10 and 10 can be written as 10².

a*a =a²

So, 10 *10 =10²

So, [tex]\frac{1}{10*10} = \frac{1}{10^{2} }[/tex]

How to write [tex]\frac{1}{a^n}[/tex] as a single power?

We can write [tex]\frac{1}{a^{n} }[/tex] as [tex]a^{-n}[/tex].

So, [tex]\frac{1}{10^2} = 10^{-2}[/tex]

Therefore, 1/100 can be written as [tex]10^{-2}[/tex]a single power.

To get more about power and exponents visit:

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