Question

what is the value of 1 raised to the power of any exponent? what is the value of 0 raised to the power of any nonnegative nonzero exponent? explain.

Answer 1

1^a =1

0^a = 0 a>=0

Explanation:

The value of 1 ^a = 1

One to any power is 1

1 multiplied by 1 any number of times is still 1

a>0

1^a = 1*1*1*1...... a times It will always be 1

a<0

1 divided by 1 any number of times is 1

1/ 1^a = 1 /( 1*1*1*1...... ) a times is still 1

The value of 0^a a>=0 is 0

0*0*0 ...... a times equals 0

Since a >=0 we are always multiplying by 0