Understanding Exponents with Fractions

This video tutorial from Mumo Math and Science covers the topic of exponents, specifically focusing on how to handle exponents when dealing with fractions. It begins with a basic example of applying exponents to both the numerator and denominator of a fraction. The tutorial then progresses to more complex scenarios involving negative exponents, explaining how to convert them to positive exponents using reciprocals. The video concludes with a summary of the key points discussed, emphasizing the importance of understanding the rules of exponents when working with fractions.

What does the exponent outside a fraction apply to?

• Only the numerator

• Only the denominator

• Neither the numerator nor the denominator

• Both the numerator and the denominator

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

• By using the reciprocal of the base

• By multiplying the base by 2

• By subtracting 1 from the exponent

• By adding 1 to the exponent

What is the result of 6 to the power of 2?

• 18

• 36

• 12

• 24

What is the reciprocal of 8?

• 4

• 2

• 8

• 1/8

If 8 is raised to the power of 2, what is the result?

• 48

• 64

• 32

• 16

In the expression 3 over 8 to the -2nd power, what should you do with the 3?

• Move it to the denominator

• Add it to the result of 8 squared

• Multiply it by the result of 8 squared

• Ignore it

What is the result of multiplying 64 by 3?

• 128

• 256

• 192

• 320

What is the first step in handling a fraction with a negative exponent?

• Add the exponent to the numerator

• Subtract the exponent from the denominator

• Use the reciprocal of the base

• Multiply the numerator and denominator

What is the final result of 3 over 8 to the -2nd power?

• 192

• 128

• 256

• 64