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?
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.
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.