Properties of Exponents and Expressions

This video tutorial covers the meaning of exponents, evaluating expressions, and solving equations. It includes identifying expressions equivalent to specific values, using the distributive property, and calculating areas of rectangles. The tutorial also involves determining the truth of mathematical statements.

Which of the following expressions is equivalent to 64?

• 8 to the 3rd power

• 2 to the 6th power

• 4 to the 2nd power

• 2 to the 8th power

What is the value of three to the fourth power?

• 100

• 81

• 64

• 27

If four to the fifth power equals 1024, what is four to the sixth power?

• 2048

• 4096

• 8192

• 16384

Which expression is NOT equivalent to six to the third power?

• 6 to the 4th power divided by 6

• 6 to the 2nd power times 6

• 6 to the 3rd power divided by 6

• 6 to the 5th power divided by 6 to the 2nd power

How can you rewrite 3xy + 6yz using the distributive property?

• 3(xy + 2yz)

• All of the above

• 3y(x + 2z)

• y(3x + 6z)

Solve for a: a - 2.01 = 5.5

• 7.51

• 3.49

• 5.51

• 2.01

What is the value of c if 10c = 13.71?

• 137.1

• 0.1371

• 1.371

• 13.71

Which of the following is true about the expression 45/100 * 72?

• It is equal to 45/100 * 100

• It equals 45/72 * 100

• It is greater than 45/72 * 100

• It is less than 45/72 * 100

What is the result of dividing 13.71 by 100?

• 13.71

• 1.371

• 0.1371

• 137.1

Which statement is true about 16% of 250?

• It is greater than 250% of 16

• It is equal to 250% of 16

• It is equal to 16% of 16

• It is less than 250% of 16