SOLUTION: rewrite expression with positive exponents 1/(3x^-3)

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: rewrite expression with positive exponents 1/(3x^-3)      Log On


   



Question 876666: rewrite expression with positive exponents 1/(3x^-3)
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply NUM and DEN by x^3

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%283x%5E%28-3%29%29

The rule for making a negative exponent positive
if it is a factor of either the numerator of the denominator:

1.  If the base with a negative exponent is a factor of the
NUMERATOR, move the base and exponent as a factor of the
DENOMINATOR and change the sign of the exponent to positive.

2.  If the base with a negative exponent is a factor of the
DENOMINATOR, move the base and exponent as a factor of the
NUMERATOR and change the sign of the exponent to positive.

Yours is case 2, so bring the factor x%5E%28-3%29 from the
DENOMINATOR to the NUMERATOR and change the exponent "-3"
to "3", like this:

1x%5E3%2F3%29

Then you can dispense with the 1:

x%5E3%2F3%29

[Note: Be sure not to bring the 3 to the numerator with the
x³ because the 3 already has an understood positive exponent
1, since 3 = 31.] 

Edwin