Question

A base of ten raised to a negative exponent corresponds to a number that is-

A- less than -1

B- between 0 and -1

C- between 0 and 1

D- greater than 1

Answer 1

A base of ten raised to a negative exponent corresponds to a number that is between 0 and 1.

Explanation:

A base of ten raised to a negative exponent, say - 1 will correspond to the number,
`10^(- 1) = (1)/(10^(1)) = (1)/(10)`.

Again, a base of ten raised to a negative exponent, say - 2 will correspond to the number,
`10^(- 2) = (1)/(10^(2)) = (1)/(100)`.

{Since we know the property of exponents as
`x^(- a) = (1)/(x^(a))`}

Therefore, all those numbers are between 0 and 1.

Hence, a base of ten raised to a negative exponent corresponds to a number that is between 0 and 1. (Answer)