Please help.
If (1/5)^m * (1/4)^18=1/2(10)^35, then m=
a. 17
b. 18
c. 34
d. 35
e. 36
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Exponents
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arzanr
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Ans is d. 35
(2)[(10)^35] = (2).((2)^35).((5)^35) = (2^36)(5^35)
On the other side you have 5^m and 4^18
4^18 = ((2)^2)^18 = 2^36
2^36 cancels out on either side and you're left with 5^m = 5^35
(2)[(10)^35] = (2).((2)^35).((5)^35) = (2^36)(5^35)
On the other side you have 5^m and 4^18
4^18 = ((2)^2)^18 = 2^36
2^36 cancels out on either side and you're left with 5^m = 5^35
-
arzanr
- Senior | Next Rank: 100 Posts
- Posts: 60
- Joined: Wed Jan 07, 2009 1:56 pm
- Thanked: 12 times
- GMAT Score:750
Any GMAT or GRE book will cover the basic rules of exponents. Also there are many sources on the web. A simple search on google for "exponents" should be a good starting point.KingTmo wrote:What is a good rule of thumb to use when simplifying exponets and radicals? Are there any resources that offer basic tutorials?
E.g. the first search result leads to this site:
https://www.purplemath.com/modules/exponent.htm
