Exploring Powers and Exponents in 8th Grade Math

This video tutorial by Mr. Weaver covers eighth-grade module one, lesson one on powers and exponents. It explains how to use integer exponents to represent repeated multiplication of rational numbers. The lesson includes writing products as powers, both numerically and algebraically, and emphasizes the importance of understanding negative bases and parentheses. The tutorial also covers evaluating powers using order of operations, with examples to reinforce learning.

What is the base in the expression 5^3?

• 8

• 15

• 5

• 3

How would you read the expression 3^2?

• Three to the fourth power

• Three to the first power

• Three cubed

• Three to the second power

Which of the following is equivalent to 2^4 * (-4)^3?

• 2^3 * (-4)^4

• 2^3 * (-4)^3

• 2^4 * (-4)^2

• 2^4 * (-4)^3

How would you write the expression a * b * b * a * b using exponents?

• a^3 * b^3

• a^2 * b^2

• a^2 * b^3

• a^3 * b^2

What does the expression (-3)^4 mean?

• 3 multiplied by 4

• 3 used as a factor 4 times

• Negative 3 multiplied by 4

• Negative 3 used as a factor 4 times

What is the result of evaluating (-2)^3?

• -6

• 6

• -8

• 8

Evaluate the expression 8^3 + (-3)^3.

• 27

• 512

• 485

• 485

If a = 3 and b = 1/2, what is the value of a^2 + b^4?

• 9.0625

• 9.125

• 9.0156

• 9.0625

Evaluate the expression d^3 + (c^2 - 2) if c = -4 and d = 2/5.

• 14.064

• 14.064

• 14.064

• 14.064

If x = -1/3 and y = 5, what is the value of x^2 + y^3 - 85?

• 40.111

• 40.111

• 40.111

• 40.111