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A number to a negative power is equal to the reciprocal of the number to the positive power.
So, 10-1 = 1/101 = 1/10 = 0.1
Here is how to think of and see the answer. 10 to the 0 power is 1 10 to the 1 power is 10, that is 1 with 1 zero 10 to the 2nd power is 100, that is 1 with 2 zeros we continue on until we get to the 9th power and 10 to the 9th is 1000000000 which is 1 with 9 zeros.
By definition of powers, x to the power y = x*x*x*........y times x to the power 1 = x Therefore, 10 to the power 1 = 10.
10 to the 0 power is 10 and 5 to the 0 power is 5 so 10 multiplied by 5 equals 50.
10 to the power 3 means 10*10*10, or 1000 10 to the power MINUS 3 means 1 over 10 to the power 3, so 1/1000.
10-1 is 10/-1 equals 0.1