Select the value of each exponential number as a fraction.
1/11
1/49
1
1/81
Select the value of each exponential number as a fraction
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To express exponential numbers as fractions, we can rewrite them using base numbers raised to a negative exponent. Here’s how to convert each one:
1. 1/11: This can be written as (11^{-1}).
2. 1/49: Since (49) is (7^2), it can be expressed as (49 = 7^2), thus, (1/49 = 7^{-2}).
3. 1: This is simply (1 = 1^0) or any number raised to the power of zero, like (11^0).
4. 1/81: Since (81) is (3^4), it gives us (1/81 = 3^{-4}).
So the fractional values as exponential expressions are:
1. (11^{-1})
2. (7^{-2})
3. (1^0)
4. (3^{-4})
Feel free to ask if you have more questions!