Fractional Powers

This lesson covers:

  1. How to apply powers that are fractions

Remember that any number to the power of 12\frac{1}{2} just means the square root. For example:

921​=√9 =3

Evaluate:

1621​
4

0

/

1

Evaluate:

3621​
6

0

/

1

Evaluate:

831​
2

0

/

1

Evaluate:

1623​
64

0

/

1

Evaluate:

2732​
9

0

/

1

Evaluate the following:

16−43​

(Give your answer either as a fraction, or to 3 decimal places)

\frac{1}{8}|0.125

0

/

1

Evaluate the following:

25−23​

(Give your answer either as a fraction, or to 3 decimal places)

\frac{1}{125}|0.008

0

/

1

Evaluate the following:

(169​)23​

(Give your answer either as a fraction, or to 3 decimal places)

\frac{27}{64}|0.422

0

/

1

Evaluate the following:

(94​)−23​

(Give your answer either as a fraction, or to 3 decimal places)

\frac{27}{8}|3.375

0

/

1

Evaluate the following:

(2536​)−21​

(Give your answer either as a fraction, or to 3 decimal places)

\frac{5}{6}|0.833

0

/

1