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Source: — Problem Solving |
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by musicdaemon » Thu Mar 27, 2008 8:46 pm
n = 15
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Re: exponenets

by Stuart@KaplanGMAT » Thu Mar 27, 2008 9:03 pm
vinviper1 wrote:5*15×4*8=2×10*n

* = exponent

What is n?

1. 6
2. 7
3. 8
4. 15
5. 23
5^15 * 4^8 = 2×10^n

5^15 * (2*2)^8 = 2×10^n

5^15 * 2^16 = 2×10^n

5^15 * 2^15 * 2 = 2×10^n

(5*2)^15 * 2 = 2×10^n

10^15 * 2 = 2×10^n

10^15 = 10^n

15 = n
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by humeixia » Thu Apr 10, 2008 8:30 pm
Yes, n=15
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by vinviper1 » Mon May 12, 2008 11:08 am
4^8 = (2*2)^8 = 2^16

Is this a general exponent rule?

Doesn't work with others like 5s

Or 9^2 = (3*3)^2 = 3^4

Thanks!
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by II » Mon May 12, 2008 12:03 pm
vinviper1 wrote:4^8 = (2*2)^8 = 2^16

Is this a general exponent rule?

Doesn't work with others like 5s

Or 9^2 = (3*3)^2 = 3^4

Thanks!
4 is a perfect square and can be expressed as 2^2 ... so all you are doing is replacing the 4 with the 2^2.

9^2 => we know 9 is a perfect square ... so 9 can be written as 3^2.
So 9^2 => (3^2)^2 = 3^4.
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by vinviper1 » Mon May 12, 2008 12:54 pm
Thank you. Missed that link. Its clear now.
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