Question

Use the Negative Power Rule of exponents to write an equivalent fraction and decimal for 10'−2

Answer 1

The negative power rule states that any number raised to a negative exponent can be written as the reciprocal of that number raised to the opposite positive exponent.

In this case, 10^(-2) can be written as 1/10^2.

Fraction: 1/10^2

Decimal: When we evaluate 10^2, we get 100. Therefore, 1/10^2 can be written as 1/100. As a decimal, this is equal to 0.01.