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An example of a problem that requires combining powers?

How can i demonstrate this: a° is equal to 1 provided a does not equal 0 

Also can i please have an simple explanation of why a° is equal to 1 (im having trouble understanding)?

Thanks a bunch?

 Jan 7, 2015

Best Answer 

 #1
avatar+23245 
+5

If you want to simplify a fraction that has exponents (with the same base), you can subtract the exponents.

Examples:  35/32  =  33     and     109/102  =  107

which means that  32/32  =  30     And since 32/32  =  9/9  =  1,  30  =  1.

This will be true for any base (except 0) and any exponent. 

Another example:  54/54  =  50     And since 54/54  =  625/625  =  1,  50  =  1

So, if x ≠ 0,  x0  =  1.

The reason that  00 is not necessarily 1 is, in a problem like this:  0²/0²  is  0/0, and division by zero is not allowed.

 Jan 7, 2015
 #1
avatar+23245 
+5
Best Answer

If you want to simplify a fraction that has exponents (with the same base), you can subtract the exponents.

Examples:  35/32  =  33     and     109/102  =  107

which means that  32/32  =  30     And since 32/32  =  9/9  =  1,  30  =  1.

This will be true for any base (except 0) and any exponent. 

Another example:  54/54  =  50     And since 54/54  =  625/625  =  1,  50  =  1

So, if x ≠ 0,  x0  =  1.

The reason that  00 is not necessarily 1 is, in a problem like this:  0²/0²  is  0/0, and division by zero is not allowed.

geno3141 Jan 7, 2015

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