Simplifying Exponential Expressions

The video tutorial explains how to simplify exponential expressions, focusing on handling negative exponents. It provides several examples, demonstrating the process of moving terms across the fraction bar to change exponent signs, multiplying powers, and dealing with different bases. The tutorial emphasizes understanding the rules for simplifying and evaluating exponential expressions.

What is the simplest form of an exponential expression that contains a negative exponent?

• An expression with a zero exponent

• An expression with a negative exponent

• An expression with a positive exponent

• An expression with a fractional exponent

What happens to the exponent when an exponential expression is moved across the fraction bar?

• The exponent is doubled

• The exponent becomes negative

• The exponent remains unchanged

• The exponent's sign is reversed

How would you simplify 6 to the power of -3?

• 1 over 6 to the power of -3

• 6 to the power of -3

• 1 over 6 to the power of 3

• 6 to the power of 3

What is the result of evaluating 1 over -2 raised to the positive fourth power?

• 1 over 32

• 1 over 64

• 1 over 16

• 1 over 8

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

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

What is the simplified form of 3 to the power of -5 + 2?

• 1 over 3 to the power of 3

• 3 to the power of 3

• 3 to the power of -3

• 1 over 3 to the power of -3

In the complex example, how is 4 rewritten to simplify the expression?

• As 2 to the power of 1

• As 2 to the power of 3

• As 2 to the power of 2

• As 2 to the power of 4

What is the result of evaluating 2 to the power of -1 times 2 to the fourth?

• 2 to the power of 3

• 2 to the power of 5

• 2 to the power of 2

• 2 to the power of 4

What is the final evaluated result of the complex example?

• 8

• 4

• 16

• 32

Which of the following is a correct alternative approach to solve the complex example?

• Recognizing 2 to the -1 as 1 over 4 and 4 squared as 8

• Recognizing 2 to the -1 as 1 over 2 and 4 squared as 8

• Recognizing 2 to the -1 as 2 and 4 squared as 8

• Recognizing 2 to the -1 as 1 over 2 and 4 squared as 16