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Exponent division positive by positive to negative

This math skill teaches how to divide exponents with the same base by subtracting the powers, demonstrating that dividing a smaller exponent by a larger exponent results in a negative exponent.

Learn exponent division positive by positive to negative

Teaching Transcript

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What is 'R' to the power of 3, divided by 'R' to the power of 5?

Let's first expand the exponents

Now we can cancel matching terms on top and bottom

We are left with two R's, or 'R' squared on the bottom

1 over 'R' squared is the same as 'R' to the minus 2

As a simple rule, dividing exponents results in subtracting their powers

Skill Practice

Exponent division positive by positive to negative

Test your understanding of exponent division positive by positive to negative by practicing it! Work through the below exercises to use it in practice.