simplify without exponents

Algebra
Tutor: None Selected Time limit: 1 Day

simplify and write without exponents

1. 64^-2/3

2. (1/25)^-3/2

Jun 15th, 2015

Thank you for the opportunity to help you with your question!

1. 

64  ^ (-2/3)

64 can be expressed as 4^3  

we have laws of exponents  x-n = 1/xn     and    (xm)n = xmn

64^ (-2/3) = 1 / (64)^2/3 = 1/(4^3) ^ (2/3)  =  1/4^((2/3)*3) = 1/4^2 = 1/16


2. 

(1/25)^-3/2  = 25 ^3/2 = (5^2)^3/2 = 5 ^3 = 125



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 15th, 2015

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