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Intern
Joined: 10 Jun 2009
Posts: 31
Location: Stockholm, Sweden
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14 Jun 2009, 23:45
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1. If M = Square root 4 + Cube root 4 + Quad root 4, then the value of M is?

1) less than 3
2) 3
3) btween 3 and 4
4) 4
5) greater than 4

2. If $$5^21 * 4^11 = 2 * 10^n$$what is the value of n?

1) 11
2) 21
3) 22
4) 23
5) 32

Is there any page you can recommend for learning how to deal with $$A^x + B^y and a^x * B^y$$? Im clueless regarding these.

3.

$$\frac{((8^2)(3^3)(2^4))}{96^2}$$

1) 3
2) 6
3) 9
4) 12
5) 18
Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
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15 Jun 2009, 04:20
Ques 1. If $$M = \sqrt{4} + \sqrt[3]{4} + \sqrt[4]{4}$$
$$M = 2 + \sqrt[\frac{2}{3}]{2} + \sqrt{2}$$
$$M = 2 + \approx 1.5 + \approx 1.4$$

This will be greater than 4

Ques 2. $$5^{21} * 4^{11} = 2 * 10^n$$

$$5^{21} * 2^{22} = 2 * 5^n * 2^n$$

n=21

Ques 3. $$\frac{(8^2)(3^3)(2^4)}{96^2}$$

$$=\frac{8^2*3^3*2^4}{3^2*2^{10}}$$
$$=\frac{2^6*3^3*2^4}{3^2*2^{10}}$$

=3

Last edited by humans on 15 Jun 2009, 23:47, edited 1 time in total.
Current Student
Joined: 03 Aug 2006
Posts: 116
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15 Jun 2009, 14:17
If $$5^{21} \times 4^{11} = 2 \times 10^n$$ what is the value of n?

1) 11
2) 21
3) 22
4) 23
5) 32

Given

$$5^{21} \times 4^{11} = 2 \times 10^n$$

$$\Rightarrow 5^{21} \times (2^2)^{11} = 2 \times 10^n$$

$$\Rightarrow 5^{21} \times 2^{22} = 2 \times 10^n$$

$$\Rightarrow 5^{21} \times 2^{21} \times 2 = 2 \times 10^n$$

$$\Rightarrow (5 \times 2)^{21} \times 2 = 2 \times 10^n$$

$$\Rightarrow 10^{21} \times 2 = 2 \times 10^n$$

$$\Rightarrow 2 \times 10^{21} = 2 \times 10^n$$

$$\Rightarrow n = 21$$
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15 Jun 2009, 14:38
Philosophus Rex - welcome to GMATClub.

You are an active member and we are happy to see you here. Wanted to show you a few quick shortcuts to post math expressions that are easier to read for everyone, similar to how Nookway responded to your questions.

To create a math formula, most of the time all you have to do is select the expression and hit the M button (located under the B, I, U buttons in the Message Posting screen)

Here is what I did to convert your posts to math-friendly format -mostly just add an M-Tag on both sides of the expression. Feel free to contact me if you have any questions!

Code:
2. If [m]5^21 * 4^11 = 2 * 10^n[/m]what is the value of n?

Is there any page you can recommend for learning how to deal with [m]A^x + B^y and a^x * B^y[/m]? Im clueless regarding these.

3. [m][fraction]((8^2)(3^3)(2^4))/96^2[/fraction][/m]

Attachments

mathposting.jpg [ 32.35 KiB | Viewed 2479 times ]

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