Exponents and Powers Concepts

This video tutorial covers Math 8 Unit 7 Lesson 6, focusing on bases other than 10, zero and negative exponents, and fractional exponents. It includes examples and practice problems to help students understand these concepts. The lesson also involves analyzing exponent expressions and provides a review of homework problems.

What is the base 3 equivalent of 3 to the 5th power?

• 81

• 243

• 27

• 9

What is the value of 2 to the power of zero?

• 0

• 1

• Undefined

• 2

How do you express 5 to the negative 3rd power as a fraction?

• 1/125

• 1/25

• 1/5

• 5/1

What is the reciprocal of 2/3 raised to the power of 3?

• 2/3

• 3/1

• 3/2

• 1/3

If you have a fraction raised to a negative power, what should you do to make the exponent positive?

• Take the reciprocal of the fraction

• Add the fraction

• Divide by the fraction

• Multiply by the fraction

Which of the following is equivalent to 5 to the 9th power?

• 5 to the 10th power

• 5 to the 3rd power times 5 to the 6th power

• 5 to the -9th power

• 5 to the 8th power

What is the result of 3 to the 10th power divided by 3 to the 7th power?

• 3 to the 10th power

• 3 to the 17th power

• 3 to the 7th power

• 3 to the 3rd power

What is the value of 8 to the 0 power?

• 8

• 1

• Undefined

• 0

In the rainfall measurement problem, how much total rain fell on Tuesday?

• 3 cm

• 10 cm

• 12 cm

• 7 cm

What happens to the rain gauge reading after Andre accidentally spills it?

• It remains the same

• It decreases to 0

• It decreases to 3 cm

• It increases