Question

Find the product. Find your answer in exponential form 3^-3 • 3^-5

Answer 1

For this case we have by definition of properties of powers that:

To multiply powers of the same base, the same base is placed and the exponents are added. Also:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Now, applying the above properties, we can rewrite the given expression as:

$3 ^ {-3-5} = 3 ^ {- 8} = \frac {1} {3 ^ 8}$

ANswer:

$\frac {1} {3 ^ 8}$