Understanding Positive Exponents and Evaluating Expressions

The video tutorial explains how to rewrite expressions with negative exponents as positive exponents and then evaluate the expression when x equals 2. It covers the concept of negative exponents, demonstrates the process of rewriting them as positive exponents, and evaluates the expression by substituting x with 2. The tutorial also includes simplifying the resulting fraction and offers insights into alternative simplification methods.

What is the first step in rewriting an expression with negative exponents?

• Multiply the exponents

• Subtract the exponents

• Convert negative exponents to positive by taking the inverse

• Add the exponents together

How can you express x to the negative two power using positive exponents?

• x^2

• 2x

• 1/x^2

• x^-2

What is the equivalent of 5 to the negative second power using positive exponents?

• 2/5

• 5^-2

• 1/5^2

• 5^2

When substituting x with 2 in the expression, what is the value of 2 to the third power?

• 8

• 6

• 10

• 4

What is the result of multiplying 1/8 by 1/25?

• 1/50

• 1/200

• 1/150

• 1/100

What is the value of 2 squared?

• 6

• 4

• 8

• 2

How can you simplify the fraction 4/200?

• 2/100

• 2/50

• 1/25

• 1/50

What is the final simplified result of the expression when x is 2?

• 1/200

• 1/100

• 1/50

• 1/25

What is the alternative method to simplify the expression before reaching the final result?

• Divide numerator and denominator by common factors

• Add all terms together

• Multiply all terms by 2

• Subtract all terms

What is the product of 2 times 5 times 5?

• 25

• 50

• 75

• 100