Exponents with a Fraction Base

The video tutorial explains the concept of exponents, including how to multiply a number by itself multiple times. It covers common errors, such as confusing multiplication with exponentiation. The tutorial also discusses exponents with fractional bases and the role of coefficients in expressions. It emphasizes the importance of following the order of operations. The video concludes with practice problems to reinforce the concepts learned.

What is the result of 3 raised to the fourth power?

• 12

• 27

• 81

• 64

How do you calculate 1/5 raised to the third power?

• 1/5

• 1/125

• 1/25

• 1/15

What role does the number 4 play in the expression 4 multiplied by 2/3 raised to the fourth power?

• Base

• Exponent

• Fraction

• Coefficient

In the expression 4 multiplied by 2/3 raised to the fourth power, what should be calculated first according to the order of operations?

• Multiply 4 by 2/3

• Add 4 and 2/3

• Calculate 2/3 raised to the fourth power

• Divide 4 by 2/3

What is the simplified form of 54/64?

• 54/128

• 27/32

• 27/64

• 54/32

How do you express the number 2 in fraction form to multiply with 27/64?

• 64/2

• 1/2

• 2/1

• 2/64

What is the result of 1/9 raised to the second power?

• 1/81

• 1/18

• 1/27

• 1/9