could someone help me with math?

Question

Simplify this expression. If the answer contains exponents, all exponents should be positive.

(s^−3/s^−2)^5

Answer 1

Hi Jay,

 

(s^-3/s^-2)⁵

 

Let's first get rid of the negative exponents by moving negative exponents in the numerator to the denominator and negative exponents in the denominator to the numerator.

 

(s²/s³)⁵

 

When dividing the same base with different exponents you subtract the exponents.  This leaves

 

(1/s)⁵

which is equal to 

 

1/s⁵