Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Dividing with Exponents

⇒ Definition of Negative Exponent

Note: They are reciprocals.

Example 1:

a) Notice that a negative exponent does not affect the sign of the number.

 b) → Odd or Even exponents determine the sign. c)

d)

⇒ Division of powers with positive exponents:

Notice that 7 − 3 = 4.

 or Subtract the smaller exponent from the larger exponent and put the resulting "power" in the "place" of the larger "power". Put a 1 in the numerator if the larger "power" is in the denominator.

Example 2:

→ Notice that 7 â€“ 3 = 7 + (-3) = + 4

⇒ Operation of powers with negative exponents: Two methods:

Method 1: Follow the rule above carefully keeping the negative exponents in parens:

Example 3:

a) Since 7 > -2 work in the numerator:

b) Since 2 > -8 work in the denominator:

c) Since - 4 > - 9 work in the denominator:

Method 2: To multiply or divide with "most" negative exponents, multiply both the numerator and the denominator by the "reciprocal with positive power" and "neutralize the negative".

Example 4:

a) Since - 2 is "most negative" multiply both by

b) Since - 8 "most negative" multiply both by

c) Since - 9 is "most negative" multiply both by

d) Since - 7 < -3, or - 7 is "most negative" multiply by x7 or

NOTE: Where there are several terms in the numerator and several terms in the denominator separate them into a product of fractions with "same letters"

Definition of Zero Exponent a 0 = 1

Note: The result of raising any base to the 0 exponent will always be 1. (a ≠ 0)

Example 5:

1. (57x 9 y 32 z -25 )0 = 1

2.

 All Right Reserved. Copyright 2005-2024