Single Power Of x?

Rachel94

New member
Joined
Feb 24, 2010
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5
The question that I'm working on is this,

Write each of the following expressions as a single power of x.

a) x^-6*x^5
b) x^3/x^-6
c) (x^-6)^5


How do I write an expression as the single power of x? All help is appreciated!
Thank you!
 
Rachel94 said:
The question that I'm working on is this,

Write each of the following expressions as a single power of x.

a) x^-6*x^5
b) x^3/x^-6
c) (x^-6)^5


How do I write an expression as the single power of x? All help is appreciated!
Thank you!

Hi Rachel94,

Remember your properties of exponents?

[1] \(\displaystyle x^a \cdot x^b =x^{a+b}\)

[2] \(\displaystyle \frac{x^a}{x^b}=x^{a-b}\)

[3] \(\displaystyle (x^a)^b=x^{ab}\)
===================================
[a] \(\displaystyle x^{-6}\cdot x^5\)

Use rule [1]
----------------------------------------
\(\displaystyle \frac{x^3}{x^{-6}}\)

Use rule [2]
----------------------------------------
[c] \(\displaystyle (x^{-6})^5\)

Use rule [3]
----------------------------------------
Let us know how you did.
 
Thank you for the help!
I understand it now, and was able to get all three finished.
 
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