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.
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#2^-1# already has a base of two, so we can leave that one alone. -
#4^3# is also equal to#2^(2*3)# , since#4# is equal to#2^2# -
#8^-1# is also equal to#2^(3*-1)# , since#8# is equal to#2^3#
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