How do you simplify (2^-1)(4^3)(8^-1) with a base of 2?
1 Answer
Jun 25, 2017
Explanation:
Rewrite each exponent with a base of 2. To do this, you need to find an equivalent to the current base.
-
2^-1 already has a base of two, so we can leave that one alone. -
4^3 is also equal to2^(2*3) , since4 is equal to2^2 -
8^-1 is also equal to2^(3*-1) , since8 is equal to2^3
Our expression is now:
=
When multiplying powers with the same base, add the exponents.
Adding the exponents:
If you want your answer as a base of 2, then keep it as