How do you write #2^-3/2^4# using only positive exponents?

2 Answers
Sep 4, 2016

Answer:

#1/2^7#

Explanation:

There are 2 laws of indices that we can use here.

Subtract the indices, or to get rid of the negative index,

#2^-3/2^4 = 1/(2^(4-(-3))#

=#1/2^7#

OR

#2^-3/2^4 = 1/(2^4 xx2^3)#

=#1/2^7#

Sep 4, 2016

We have: #(2^(- 3)) / (2^(4))#

Using the laws of exponents:

#= 2^(- 3 - 4)#

#= 2^(- 7)#

#= (1) / (2^(7))#