Negative Exponents and Simplification

The video tutorial guides students through evaluating mathematical expressions using given values. It demonstrates how to substitute values, apply exponent rules, and verify results using a calculator. The tutorial covers four expressions, focusing on simplifying expressions with negative exponents and converting them to positive exponents. Each step is verified with a calculator to ensure accuracy. The tutorial concludes with a final expression evaluation and a summary of the methods used.

What is the first step in evaluating expressions for given values?

• Add all exponents

• Multiply all numbers

• Substitute the values into the expression

• Divide the numbers

When x = 4 and y = 4, what is the result of x^(-2) * y^3?

• 8

• 16

• 1

• 4

How do you simplify 4 * (-3)^(-3) * 4^2?

• Multiply the exponents of 4

• Subtract the exponents of 4

• Divide the exponents of 4

• Add the exponents of 4

What is the simplified form of 4^3 / (-3)^3?

• -27/64

• 64/27

• 27/64

• -64/27

What is the result of (4 * 3 / 2)^(-2)?

• 36

• 1/6

• 6

• 1/36

How do you convert a negative exponent to a positive one?

• Add 1 to the exponent

• Multiply the base by 2

• Move the base to the denominator

• Subtract 1 from the exponent

What is the value of 4 * (-3)^(-2) / 2?

• 1/36

• 1/72

• 1/144

• 1/288

What is the denominator when simplifying 4 * (-3)^(-2) / 2?

• 288

• 144

• 36

• 72

What is the result of negative 12 squared?

• 12

• -144

• 144

• -12

What is the final value of the expression 4 * (-3)^(-2) / 2?

• 1/288

• 1/144

• 1/72

• 1/36