Understanding Negative Exponents and Fraction Addition

The video tutorial explains how to find the sum of 10^-2 and 10^-3 using the negative exponent rule. It demonstrates converting these expressions into fractions, finding a common denominator, and summing them to get the result. The final sum is expressed both as a fraction and a decimal.

What does the negative exponent rule state?

• A number raised to a negative exponent is one over the number raised to the positive exponent.

• A number raised to a negative exponent is the same as the number raised to the positive exponent.

• A number raised to a negative exponent is zero.

• A number raised to a negative exponent is negative.

How can 10 to the power of negative 2 be expressed as a fraction?

• 10/1

• 1/1000

• 1/100

• 1/10

What is the fraction equivalent of 10 to the power of negative 3?

• 1/100

• 1/10

• 1/1000

• 10/1000

What is the least common denominator used to add 1/100 and 1/1000?

• 1000

• 100

• 10000

• 10

What is the sum of 1/100 and 1/1000 expressed as a decimal?

• 0.11

• 0.00011

• 0.011

• 0.0011