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Exponents

Raising One Power to Another

When one power is raised to another, we multiply exponents:

This is true for all kinds of exponents, positive and negative (and as we will see later, fractional).

Examples

Raising a Positive Power to a Positive Power

Long solution:

Short solution:

Have a look at some more worked examples:

Exercise

Now practice some of the following exercises:

Examples

Raising a Positve Power to a Negative Power

Long solution:

Short solution:

Study some more worked examples showing the longer solution:

Exercise

Now practice by solving some of the following exercises. Here you can use the short solution and just enter the final answer:

Examples

Raising a Negative Power to a Positive Power

Long solution:

Short solution:

Study some more worked examples:

=         =         =     =     =     (   ) 1   1 1 1   s         (   )     s             s     s     s   s

Exercise

Practice by solving some of the following exercises:

Example

Finally just one long solution for a negative exponent raised to a negative exponent.

Exercise

Solve some of these mixed exercises:

<< Dividing Terms with the Same Base | Exponents Index | Raising a Product to a Power >>