Solving Expressions with Exponents

This video tutorial covers evaluating powers and solving expressions with exponents. It begins with an introduction to the components of powers, such as bases and exponents, and explains how to evaluate them in various scenarios. The tutorial then demonstrates solving expressions using the order of operations, including complex expressions involving fractions and absolute values. The video emphasizes understanding the base in expressions and applying the correct order of operations to find solutions.

What is the base in the expression 3 to the 4th power?

• 7

• 12

• 3

• 4

In the expression -3 to the 4th power, what is the base when the negative sign is inside the parentheses?

• -4

• 4

• -3

• 3

What is the result of 3 + 2 * 3 to the 4th power following the order of operations?

• 81

• 165

• 9

• 243

How do you handle the negative sign in the expression -10^2?

• Square both 10 and the negative sign

• Square only the 10

• Ignore the negative sign

• Square the negative sign

What is the final result of the expression inside the absolute value bars: -27 / +27?

• 0

• -1

• +27

• +1

What is the base in the expression (-3)^2?

• -3

• 3

• -2

• 2

In the expression 6^2, what is the base?

• 2

• 6

• 36

• 12

What is the result of multiplying -1/2 to itself three times?

• -1/8

• +1/4

• +1/8

• -1/4

How do you simplify the expression 1/4^2?

• 1/8

• 1/16

• 1/2

• 1/32

What is the final result of the expression -2 after applying absolute value?

• 0

• +1

• +2

• -2