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3 years ago

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

Mathematics

1 answer:

Masteriza [31]3 years ago

3 0

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, $10^{- 1} = \frac{1}{10^{1}} = \frac{1}{10}$ .

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

{Since we know the property of exponents as $x^{- a} = \frac{1}{x^{a}}$ }

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)

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