*

The exponent the a number claims how numerous times to usethe number in a multiplication.

You are watching: What is 10 to the negative 2nd power

In this example: 82 = 8 × 8 = 64

In words: 82 can be called "8 to the second power", "8 come the power 2" or simply "8 squared"

Example: 53 = 5 × 5 × 5 = 125

In words: 53 can be called "5 come the third power", "5 to the power 3" or merely "5 cubed"


In general:

an tells you to usage a in a multiplication n times:
*

But those are positive exponents, what about something like:

8-2

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

Negative Exponents

Negative? What might be the opposite of multiplying? Dividing!


*

That last example showed an easier means to handle an unfavorable exponents:

Calculate the optimistic exponent (an)


negative ExponentReciprocal the Positive ExponentAnswer
4-2 = 1 / 42 = 1/16 = 0.0625
10-3 = 1 / 103 = 1/1,000 = 0.001

It All makes Sense

My favorite an approach is to start with "1" and also then multiply or division as many times as the exponent says, then you will acquire the appropriate answer, because that example:


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

See more: Question : Which Of The Following Is An Incorrect Match ? Unit 4 Exam Flashcards


If girlfriend look at that table, friend will watch that positive, zero or an unfavorable exponents room really part of the same (fairly simple) pattern.