Example 1
In this example, we simply flipped the
fraction around which allowed us to
make the exponent positive so that we
can easily find the answer.

Example 2
In example 2, we also simply used the
reciprocal and then solved the
expression with the positive exponent.

Example 1
In example 1: we have to square root 16
and then cube our solution to get the
answer: 64.

Example 2
In example, 2, we have to find the cube
root instead of the square root. The
general procedure remains the same.

Example 3
In the last example we have to find the
fourth root. We can see this by looking
at the bottom number of the fractional
exponent.

Example 1
In example 1, we start off by taking the reciprocal and
square rooting 9. Then we cube the answer and get
1/27 as the final solution.

Example 2
In example 2, we do the same procedure as in
example one just that we cube root and square.

Example 3 - CHALLENGE!
Did you understand this? If no, don’t worry. This is a very advanced exercise. It is a fraction with a negative and
fractional exponent. The first step in his example is to flip the fraction around an remove the minus. Then you
square root the fraction before calculating it to the power of 4. If you have no problem with this type of expression,
you can consider yourself a very accomplished mathematician in the area of fractions and indices.

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Chapter 7.2: Learning Outcomes
Students will be able to identify and solve negative indices!
Students will be able to identify and solve fractional indices!
Students will be able to tackle problems involving both negative &
fractional indices!

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