Mathematical Expressions and Properties

This video tutorial covers the meaning of exponents, evaluating expressions equivalent to specific powers, and solving equations. It includes sections on identifying expressions equal to 64 and 3^4, evaluating powers of four, and using the distributive property. The tutorial also addresses solving equations and calculating the area of rectangles, concluding with an evaluation of true or false mathematical statements.

Which of the following expressions is equivalent to 64?

• 2 to the 8th power

• 16 to the 2nd power

• 4 to the 3rd power

• 8 to the 3rd power

What is the value of three to the fourth power?

• 27

• 64

• 81

• 100

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

• 16384

• 2048

• 8192

• 4096

Which expression is equivalent to six to the third power?

• All of the above

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

• 6 to the 4th power divided by 6

• 6 to the 2nd power times 6

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

• 3x(y + 2z)

• 3y(x + 2z)

• 3(xy + yz)

• 3y(x + z)

Solve for a: a - 2.01 = 5.5

• 2.01

• 7.51

• 5.51

• 3.49

What is the result of dividing 13.71 by 100?

• 13.71

• 1.371

• 0.1371

• 137.1

Which of the following statements is true?

• 45/100 * 72 = 45/72 * 100

• Both are true

• Neither is true

• 16% of 250 = 250% of 16

What is the value of 10c if c = 1.371?

• 13.71

• 137.1

• 1.371

• 0.1371

Which expression represents the total area of a rectangle with dimensions 6m and 6n?

• 6m + n

• m + 6n

• 6(m + n)

• m + n