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Simplify (u^-6)^2. Write your answer without using negative exponents.

the -6 is smaller and above the u. the 2 is outside the parentheses and smaller. 


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Amanda A. | Experienced Teacher and Education Professional w/ Test-Prep ExperienceExperienced Teacher and Education Profes...
4.9 4.9 (8 lesson ratings) (8)

Given that the expression you're trying to simplify looks like this --- (u-6)2 ---  here's how I would start to tackle it. 

Expression:                       (u-6)2
Multiply the exponents:     u

Then, it's important to know that  u-1  = 1/u
When you apply that to the expression you are working with, it looks like this:

Flip expression to remove negative exponent: 1/u12

Brad M. | STEM Specialist plus Business, Accounting, Investment & EditingSTEM Specialist plus Business, Accountin...
4.9 4.9 (230 lesson ratings) (230)

Hi Angela!

You could simply but surely "type out" the expression:

u^-1= 1/u ==> u^-6= 1/(u*u*u*u*u*u), now squaring this thing means you'll have twice as many u's ...

Since (1/u)^2= (1/u)(1/u) ==> (1/u^6)(1/u^6)= 1/(u^12)  Best wishes, ma'am :)