Exponents

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How do you multiply numbers with exponents?

An exponent refers to the number of times a number is multiplied by itself. Exponents are also called Powers or Indices. Exponential notation is an easier way to write a number as a product of many factors.

The number being multiplied is the base and the exponent tells you how many times the base is multiplied.

What are exponent examples?

6²    =    6 × 6
6³   =    6 × 6 × 6
6⁴   =    6 × 6 × 6 × 6
6⁵   =    6 × 6 × 6 × 6 × 6

What if the Exponent is 1, or 0?

If the exponent is 1, then you just have the number itself (example 4¹ = 4)
Any nonzero number raised to the power of zero equals 1 (example 4.84⁰ = 1)
But what about 00? It could be either 1 or 0, and so people say it is “indeterminate”.

A number with an exponent of two is known as a square of a number.
$7^2$ is read as seven squared

A number with an exponent of three is known as a cube of a number.
$9^3$ is read as nine cubed

Check Point

7⁴=

7 + 7 + 7 + 7
7 x 4
4 x 7
7 × 7 × 7 x 7

5³=

1000⁰=

1000
0
No answer
1

1⁹=

1
8
No answer
9

0.5×0.5×0.5 =

0.5
5x5x5
0.5³
No answer

Answer key

D. 7×7×7×7
B.125
D.1
A.1
C. 0.5³

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