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

Respuesta :

Answer:

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

Step-by-step explanation:

A base of ten raised to a negative exponent, say - 1 will correspond to the number, [tex]10^{- 1} = \frac{1}{10^{1}} = \frac{1}{10}[/tex].

Again, a base of ten raised to a negative exponent, say - 2 will correspond to the number, [tex]10^{- 2} = \frac{1}{10^{2}} = \frac{1}{100}[/tex].

{Since we know the property of exponents as [tex]x^{- a} = \frac{1}{x^{a}}[/tex]}

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)