Simplifying Expressions with Negative Exponents

The video tutorial explains how to simplify expressions involving negative exponents using exponent rules. It covers three examples: multiplying exponents when powers are raised to powers, simplifying expressions inside parentheses, and combining exponents. The tutorial emphasizes the importance of converting negative exponents to positive by moving them across the fraction bar and provides step-by-step solutions for each example.

What is the first step in simplifying expressions with negative exponents?

• Divide the exponents

• Multiply the exponents

• Add the exponents

• Subtract the exponents

In the first example, what is the simplified form of X to the power of -4 x -5?

• X to the power of 20

• X to the power of -20

• X to the power of -9

• X to the power of 9

How do you handle negative exponents in a simplified expression?

• Subtract them from the numerator

• Leave them as they are

• Add them to the numerator

• Move them to the denominator and change the sign

In the second example, what is the result of 24 divided by 8?

• 4

• 5

• 3

• 2

What is the simplified form of Z to the sixth divided by Z to the fourth?

• Z to the power of 4

• Z to the power of 2

• Z to the power of 10

• Z to the power of -2

What is the result of raising 3 to the power of 1 x -3?

• 3 to the power of 1

• 3 to the power of 3

• 3 to the power of 0

• 3 to the power of -3

In the third example, what is the result of 2 to the power of 1 x 5?

• 2 to the power of 1

• 2 to the power of 5

• 2 to the power of 10

• 2 to the power of 0

What is the simplified form of X to the power of 20 x X to the power of -7?

• X to the power of 27

• X to the power of 13

• X to the power of -13

• X to the power of 7

What is the value of 2 to the fifth power?

• 16

• 32

• 64

• 128

What is the final simplified form of the expression in the third example?

• 32X to the power of 20

• 32X to the power of -13

• 32X to the power of 7

• 32X to the power of 13