5^21*4^11=2*10^n
what is N?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
exponents, no matching bases
This topic has expert replies
-
truplayer256
- Master | Next Rank: 500 Posts
- Posts: 392
- Joined: Thu Jan 15, 2009 12:52 pm
- Location: New Jersey
- Thanked: 76 times
-
jjk
- Senior | Next Rank: 100 Posts
- Posts: 43
- Joined: Thu Mar 12, 2009 8:56 pm
- Thanked: 10 times
- Followed by:1 members
- GMAT Score:730
The basic rule here is that when you calculate the x-root of a base, you then multiply the exponent by x.
For example:
8^2 = 2^6 = 64
Here, you can see that 2 is the cube root of 8. Since a number cubed is a number raised to the 3rd power, you multiply the old exponent (2) from the old base (8) by 3.
9^3 = 3^6 = 729
16^2 = 4^4
For example:
8^2 = 2^6 = 64
Here, you can see that 2 is the cube root of 8. Since a number cubed is a number raised to the 3rd power, you multiply the old exponent (2) from the old base (8) by 3.
9^3 = 3^6 = 729
16^2 = 4^4
