Question

10^-2 in simplest rational exponent form show ur work

Answer 1

Answer:1/100

Explanation:

To express 10^-2 in simplest rational exponent form, let's start by understanding what the exponent -2 means.

In general, a negative exponent indicates that the base should be moved to the denominator of a fraction. In this case, since the base is 10, we can write 10^-2 as 1/10^2.

Now, let's simplify 10^2. This means multiplying 10 by itself: 10^2 = 10 * 10 = 100.

Therefore, 10^-2 can be written as 1/100.

In conclusion, 10^-2 in simplest rational exponent form is 1/100.

Answer 2

Hello!

Answer:

`\Large \boxed{ \sf (1)/(100) }`

Explanation:

→ We want to convert 10⁻² in simplest rational exponent form.

→ We have this formula:

`\sf 10^(-x) = (1)/(10^x)`

→ Let's apply this formula with x = 2:

`\sf 10^(-2) = (1)/(10^2)`

→ Simplify the fraction:

`\sf (1)/(10^2) =\boxed{ \sf (1)/(100) }`

Conclusion:

10⁻² in simplest rational exponent form is 1/100.