Exponent Rules and Simplification

The video tutorial explores exponent rules, focusing on multiplying numbers with the same base. It explains how to simplify expressions by adding exponents when the bases are identical. The tutorial warns against common mistakes, such as incorrectly applying the rule to addition instead of multiplication. It provides examples, including those with fractional exponents, and demonstrates how to find a common denominator to add fractions. A practice problem is presented, showing the step-by-step process to reach the solution.

What is the result of multiplying 2^3 by 2^4?

• 2^12

• 2^7

• 2^6

• 2^8

Which of the following is a correct application of the exponent rule for multiplication?

• 2^3 / 2^4

• 2^3 - 2^4

• 2^3 * 2^4

• 2^3 + 2^4

What is the result of 2^3 * 2^4 using the exponent rule?

• 2^8

• 2^6

• 2^7

• 2^12

What should you be cautious about when applying the exponent rule?

• Subtracting exponents when bases are the same

• Multiplying exponents when bases are the same

• Adding exponents when the operation is addition

• Adding exponents when bases are different

What is the key condition for adding exponents when multiplying?

• The bases must be different

• The bases must be the same

• The exponents must be equal

• The operation must be addition

What operation is necessary between terms to apply the exponent addition rule?

• Multiplication

• Subtraction

• Addition

• Division

In the expression m^(2/5) * m^(3/4), what is the first step to simplify it?

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

What is the common denominator used to add the fractions 2/5 and 3/4?

• 10

• 15

• 25

• 20

What is the simplified exponent of m in the expression m^(2/5) * m^(3/4)?

• 23/20

• 5/9

• 7/10

• 1

What is the result of adding the exponents 2/5 and 3/4?

• 1

• 7/5

• 23/20

• 5/4