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Wednesday 29th of June
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

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

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 Ineq. #4:

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 Solve for:

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# Negative Integer Exponents

Here is a summary of our work with negative exponents:
 Definition Example 1 Example 2
Here, the variables represent nonzero real numbers and n is a nonnegative integer.

Example 1

Find:

 Solution Use the definition of a negative exponent, Evaluate the exponential expressions. In the denominator of the expression, write each fraction using the LCD, 18. In the denominator of the expression, subtract the fractions. Rewrite the division using Ã·. To divide 5 by a fraction, multiply by the reciprocal of the fraction. Multiply the numerators and multiply the denominators.

Thus,

Example 2

Rewrite using only positive exponents:

Solution

 Since -7 is the exponent of y, not 5y, 5y -7 = 5 Â· y -7 Use the definition

Thus,