\"*\"

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

You are watching: -2 to the power of 5

In this example: 82 = 8 × 8 = 64

In words: 82 deserve to be called \"8 come the 2nd power\", \"8 come the power 2\" or merely \"8 squared\"

Example: 53 = 5 × 5 × 5 = 125

In words: 53 deserve to be dubbed \"5 come the 3rd power\", \"5 to the power 3\" or just \"5 cubed\"


In general:

an speak you to use a in a multiplication n times:
\"*\"

But those are positive exponents, what around something like:

8-2

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

Negative Exponents

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


\"*\"

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

Calculate the hopeful exponent (an)


negative ExponentReciprocal of 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 main point or divide as plenty of times as the exponent says, then you will get the ideal answer, for example:


Example: powers of 5
.. Etc..
\"*\"
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 an unfavorable exponents room really part of the exact same (fairly simple) pattern.