Understanding Exponents and Powers

This video tutorial introduces the concept of exponents, explaining the terms 'base' and 'exponent' with examples. It covers how bases can be whole numbers, fractions, or decimals, and demonstrates how to express and solve exponential expressions in different forms, including exponential, repeated factors, and standard forms.

What is the term used for the small number written above and to the right of a base number?

• Base

• Factor

• Exponent

• Power

If you have 5 to the power of 2, how would you express this in words?

• Five cubed

• Five squared

• Five multiplied by two

• Five doubled

When multiplying a base by itself according to the exponent, what is the correct method for 5 to the power of 2?

• 5 times 5

• 5 divided by 2

• 5 plus 5

• 5 times 2

Which of the following can be a base in an exponent expression?

• Whole numbers, fractions, and decimals

• Only fractions

• Only whole numbers

• Only decimals

What is the result of 6 cubed?

• 216

• 126

• 36

• 18

How do you express 6 cubed using repeated factors?

• 6 x 3

• 6 + 6 + 6

• 6 + 3

• 6 x 6 x 6

What is the standard form of 3/4 squared?

• 9/16

• 3/8

• 12/16

• 6/8

How do you write 3/4 squared using repeated factors?

• 3/4 + 3/4

• 3/4 x 3/4

• 3/4 - 3/4

• 3/4 / 3/4

What is the first step in solving an exponent expression with a fraction base?

• Add the numerators

• Multiply the numerators

• Subtract the denominators

• Divide the numerators

What is the denominator when you square 3/4?

• 16

• 12

• 8

• 4