Find solutions to your problems with the help of IDNLearn.com's expert community. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.
9514 1404 393
Answer:
-1/2048
Step-by-step explanation:
The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.
= (1/32) / (-64)
= -1/(32·64) = -1/2048
__
You can also rewrite the expression in terms of powers of 2.
2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11
= -1/2048
_____
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
4 = 2^2
2^5 = 32
4^3 = 64