Exponent Rules and Fraction Addition

The video tutorial explains how to multiply exponents with the same base by adding their exponents. It demonstrates the process of finding common denominators to add fractions, leading to the final calculation of the exponent result.

What is the first step in solving the problem of multiplying X^(1/7) by X^(2/3)?

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

When multiplying powers with the same base, what should you do with the exponents?

• Divide them

• Subtract them

• Add them

• Multiply them

In the expression X^(1/7) * X^(2/3), what is the base?

• X

• 7

• 1/7

• 2/3

What operation is performed on the exponents when multiplying X^(a) * X^(b)?

• Subtraction

• Division

• Addition

• Multiplication

What is the common denominator used to add 1/7 and 2/3?

• 21

• 7

• 3

• 14

How do you convert 1/7 to have a denominator of 21?

• Multiply by 21/21

• Multiply by 2/2

• Multiply by 3/3

• Multiply by 7/7

What is the first step in finding a common denominator for 1/7 and 2/3?

• Add the fractions directly

• Multiply the numerators

• Subtract the fractions

• Find the least common multiple

What is the least common multiple of 7 and 3?

• 7

• 21

• 3

• 14

What is the purpose of finding a common denominator when adding fractions?

• To multiply the fractions

• To make the denominators equal

• To simplify the fractions

• To divide the fractions

What is the equivalent fraction of 2/3 with a denominator of 21?

• 6/21

• 14/21

• 7/21

• 3/21