THE MEANING OF DECIMAL EXPONENTS
as a fraction, and rewrite using this fraction.
We can use the power law for exponents to break up this fraction into two factors. Find the value of
so that .
Rewrite your answer to part (b) as a certain 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're working without a calculator?
The numbers remain smaller and therefore easier to work with.
Do the calculation on your graphing calculator.
. How does this answer compare with the previous one?
Reshma notices that the answer for
is close to . Kahlil knows she could get closer by using more decimal places in the exponent. Use guess and check to find (to the nearest ) so that is as close to as possible.
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?
She can rewrite
as , then calculate gives several more decimal places instantly.