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## Positive Exponents

A positive exponent counts how many times a number is multiplied to itself.

For a nonzero number b, we define

b0 = 1

b1 = b

b2 = b×b

b3 = b2×b = b×b×b

In general, for an integer n > 1

bn = b×b×b×...×b    (n lots of b)

"bn" is called a power of b. We read this as "b to the n".

We call b the base and n the exponent.

We also read b2as b squared, and b3 as b cubed.

### Example 1

34 = 3×3×3×3 = 81

43 = 4×4×4 = 64

For more examples, click the "New Example" button below. Each time you click the button, a new example will appear.

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### Exercise 1.

Now try these. Attempt them without the use of a calculator. Give the final numerical answer only and not the middle step provided in Example 1.

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