THE MEANING OF DECIMAL EXPONENTS
as a fraction, and rewrite using this fraction.
The power property of exponents can be used to break up this fraction into two factors. Write the value of
so that .
Rewrite your answer to part (b) as a root of
raised to a certain power by copying and filling in the blanks of .
Why is it generally better to take the root first, especially when you are working without a calculator?
The numbers remain smaller and therefore easier to work with.
Use a calculator to evaluate your expression from part (c).
. How does this answer compare with the previous one?
Reshma notices that the answer for
is close to . Kahlil knows she can get a value closer to by using more decimal places in the exponent. Use guess and check to determine (to the nearest ) so that is as close to as possible.
is slightly larger than , choose an exponent a little less than .
In a flash of brilliance, Reshma suddenly knows how to get several more decimal places instantly. What keys can she press on her calculator to do this?
using a logarithm.