Understanding 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 evaluating expressions with powers. The tutorial emphasizes the importance of converting negative exponents to positive by moving them across the fraction bar.

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

• Multiply the exponents

• Add the exponents

• Convert to positive exponents

• Divide the exponents

In the first example, what is the result of multiplying the exponents -4 and -5?

• -20

• 9

• 20

• -9

How do you handle a negative exponent when simplifying an expression?

• Move the base to the opposite side of the fraction

• Subtract 1 from the exponent

• Add 1 to the exponent

• Multiply the base by 2

What is the result of dividing Z to the sixth by Z to the fourth?

• Z to the twelfth

• Z to the tenth

• Z to the fourth

• Z to the second

In the second example, what is the simplified form of 3 to the power of 1 x -3?

• 3 to the third

• 3 to the negative sixth

• 3 to the negative third

• 3 to the sixth

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

• 1 over 9, Z to the sixth

• 1 over 3, Z to the sixth

• 1 over 27, Z to the sixth

• 1 over 81, Z to the sixth

In the third example, what is the result of multiplying X to the twentieth by X to the negative seventh?

• X to the negative thirteenth

• X to the seventh

• X to the twenty-seventh

• X to the thirteenth

What is the value of 2 to the fifth power?

• 128

• 64

• 32

• 16

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

• 16X to the power of 13

• 128X to the power of 13

• 32X to the power of 13

• 64X to the power of 13

What is the key takeaway from simplifying expressions with negative exponents?

• Always add exponents

• Negative exponents should be converted to positive by moving the base

• Multiply all exponents by 2

• Divide all exponents by 2