# Create expressions

• Sep 5th 2012, 10:35 AM
ford2008
Create expressions
Hi guys,

Create four expressions that, when simplified using the exponent laws, are equal to 4x^6
Each expression should use at least one different exponent law. State which law(s) must be used to simplify each expression.

Could somebody help me with that task and explain how to start creating expressions? Thanks.
• Sep 5th 2012, 10:48 AM
emakarov
Re: Create expressions
For example, $4x^2\cdot x^4 = 4x^6$. You use the fact that $x^a\cdot x^b=x^{a+b}$.
• Sep 5th 2012, 10:50 AM
kalyanram
Re: Create expressions
All the previous examples posted by you has demonstrated addition,subtraction,multiplication and division of exponents. Create example based on these facts and post your attempt.

Kalyan.
• Sep 5th 2012, 11:44 AM
ford2008
Re: Create expressions
Kalyan could you do me a favour and check my post "Trigonometry Word Wheel". I would really appreciate it to hear your opinion.
• Sep 5th 2012, 12:07 PM
ford2008
Re: Create expressions
So my expressions=

1. Product Law = (4x^2) (x^4) = 4x^6

2. Quotient Law = 4x^8
------
4x^2

= 4x^6

3. Power of a Power Law = (4x^3)^2 = 4x^6

4. Power of a Product Law = (4x^2) (x^4) = 4x^6

Is that right?
• Sep 5th 2012, 12:22 PM
kalyanram
Re: Create expressions
1. and 4. are the same. The only missing expression is $\sqrt{16x^{12}} = 4x^6$. This in fact similar operation as 2. with the only exception that you are taking a fraction exponent.

Kalyan.
• Sep 5th 2012, 12:39 PM
ford2008
Re: Create expressions
What Law is it then? The missing expression?
• Sep 5th 2012, 01:23 PM
emakarov
Re: Create expressions
Quote:

Originally Posted by ford2008
2. Quotient Law = 4x^8
------
4x^2

= 4x^6

3. Power of a Power Law = (4x^3)^2 = 4x^6

The coefficients (the numbers before x) in 2 and 3 are wrong.
• Sep 5th 2012, 02:33 PM
ford2008
Re: Create expressions
Thank you emakarov,

so it should be in 2 =

16x^8
------
4x^2

and in 3 =

(16x^3)^2

Is that right? Do you know witch missing expression law kalyanram is meaning with his answer?
• Sep 5th 2012, 02:52 PM
amillionwinters
Re: Create expressions
#3 should be $(2x^3)^2=4x^6$
• Sep 5th 2012, 03:07 PM
emakarov
Re: Create expressions
Quote:

Originally Posted by ford2008
Do you know witch missing expression law kalyanram is meaning with his answer?

$\sqrt[a]{x^b}=x^{b/a}$.