EXPONENTS

**
5 ^{3 } = (5)(5)(5) = 125 5^{3}
means to multiply 5 three times. The 5 is called
**

the base and the 3 is the exponent.

The meaning of exponents is the same at all levels of mathematics.

For example: (x + 3)^{2 } means to multiply (x + 3) times (x + 3). This is why people say that

exponents are a short way of indicating multiplication.

**
So (x + 3) ^{2} = (x + 3)(x + 3) = (x^{2
} + 3x + 3x + 9) =
x^{2} + 6x + 9**

** 4 ^{2} = (4)(4) = 16
4^{5} = (4)(4)(4)(4)(4) = 1024**

**By definition any number with a 0 exponent is = to 1.
So 4 ^{0 } = 1, 9876545679309^{0} = 1
**

The one exception is 0^{0}, is not defined.

**We can work in the opposite direction. 25 can be changed to a base and
exponent. 25 = 5 ^{2}
81 = 9^{2} or 3^{4} **

**7 x 7 x 7 x 7 x 7 x 7 can be written 7 ^{6}. **

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