Hi















 ***

 

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
  equals .

here's how it works.



that's based on the laws of exponents.

substituting in your original expression, then:

 equals 

this is equivalent to:

 equals  which equals .

the simple way to handle it is:

if the term with the negative exponent is in the numerator, then move it to the denominator and make the exponent positive.

if the term with the negative exponent is in the denominator, then move it to the numerator and make the exponent positive.

care must be taken to move only the term with the exponent.

example 1:

 equals .

the term with the negative exponent is x, not 3x.

example 2:

 equals 

here the term with the negative exponent is 3x because 3x is enclosed in parentheses and the term in the parentheses is being raised to the negative power.

example 3:



this becomes:



the 3 in the numerator is not brought down to the denominator because it is not part of the term that is being raised to the negative exponent.

the (5b) in the denominator is brought to the numerator because it is part of the term that is being raised to the negative exponent.

 

RELATED QUESTIONS

rewrite using positive exponent 
1
--... (answered by Alan3354)

Rewrite using positive exponent 1/x^-5
Please explain the steps. . .  (answered by MathLover1)

Rewrite using a single positive exponent. 6 with a power of 5 over... (answered by solver91311)

Express using a positive exponent.... (answered by jim_thompson5910)

Express using a positive exponent:... (answered by jim_thompson5910)

rewrite using positive rational exponents... (answered by jim_thompson5910)

express using a positive exponent... (answered by jim_thompson5910)

express using a positive exponent:... (answered by Tatiana_Stebko)

P^-5
Express using positive... (answered by algebrahouse.com)