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The exponent of a number states how plenty of times to usethe number in a multiplication.

You are watching: 6 to the power of 2

In this example: 82 = 8 × 8 = 64

In words: 82 can be referred to as "8 to the 2nd power", "8 to the strength 2" or simply "8 squared"

Example: 53 = 5 × 5 × 5 = 125

In words: 53 have the right to be dubbed "5 to the third power", "5 to the strength 3" or just "5 cubed"


In general:

an speak you to usage a in a multiplication n times:
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But those are positive exponents, what around something like:

8-2

That exponent is negative ... What does that mean?

Negative Exponents

Negative? What could be opposing of multiplying? Dividing!


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That last instance showed an easier way to handle negative exponents:

Calculate the positive exponent (an)


an unfavorable ExponentReciprocal that Positive ExponentAnswer
4-2 = 1 / 42 = 1/16 = 0.0625
10-3 = 1 / 103 = 1/1,000 = 0.001

It All renders Sense

My favorite method is to start with "1" and then main point or division as countless times together the exponent says, climate you will gain the ideal answer, because that example:


Example: strength of 5
.. Etc..
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521 × 5 × 525
511 × 55
5011
5-11 ÷ 50.2
5-21 ÷ 5 ÷ 50.04
.. Etc..

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If friend look at that table, you will view that positive, zero or negative exponents room really component of the same (fairly simple) pattern.