Algebra Tutorials! Monday 19th of March

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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Simplifying Expressions That Contain Negative Exponents

When we write an exponential expression in simplified form, we typically use only positive exponents.

Example 1

Simplify and write using only positive exponents: (3-1r4s-5t)-2

Solution

 Use the Power of a Product Property. = (3-1)-2(r4)-2(s-5)-2(t)-2 Use the Power of a Power Property. = 32 Â· r-8 Â· s10 Â· t-2 Rewrite using only positive exponents. Simplify.

So,

Note:

Thereâ€™s more than one way to simplify the original expression.

For example, you could begin like this:

Then use the Power of a Product Property.

Example 2

Simplify and write using only positive exponents:

Solution

 For each factor with a negative exponent, move the factor to the other side of the division bar and make its exponent positive. Use the Multiplication Property of Exponents. Evaluate 25.

So,