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Exponents (sometimes called powers or indices - the plural of index) are a simple and easy notation, and they save a lot of time. For exampe, say you wanted to write out a googol in full; that is, 10100. * Which is easier to do: that exponent, or 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10? * Another example is the opposite: 10-60, or 0.0000000000000000000000000000000000000000000000000000000000001? So exponents make life very easy for mathematicians, physicists, chemists, engineers and many other people that have to deal with large numbers on a regular basis. Another effect of using exponents is that multiplication is also easier. For 211 x 218, rather than work out 218 and 211 and then mulitply those large numbers together, we can simply add the exponents and then calculate the final result, i.e. 229 (which for the record, is 536870912). The opposite works for division as well; simply subtract the exponents to get the divided amount. They can be used in many other ways as well to make working very large or very small numbers much easier.

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Related questions

If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?

The exponents are added.


When adding numbers with exponents do you add or subtract the exponents?

you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..


When adding numbers with fraction exponents do you add the exponents?

Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.


When you are multiplying exponents do you only add the exponents or do you also multiply the bases?

Add the exponents


How are the laws of rational exponents similar to laws of integer exponents?

The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.


Are there variables in exponents?

In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.


What are the rules adding and subtracting exponents?

When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.


Can you have negative exponents in the denominator?

You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.


When multiplying binomials that turn out negative do you add or subtract exponents?

When multiplying numbers with exponents, you add the exponents.


When you raise a power to a power what do you do with the exponents?

You multiply the exponents.


What is the relationship between the exponents of the base and the exponent of the product?

when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question


When dividing variables with exponents subtract exponents?

Yes. When you divide one variable with an exponent from another, you subtract the exponents