Exponents and Expressions Practice

Mr. Richards reviews grade six math concepts focusing on exponents. He explains how to evaluate and compare expressions involving exponents, emphasizing the difference between multiplication and addition in these contexts. The video also covers the distributive property, solving equations, and analyzing expressions for calculating the area of rectangles. The session concludes with a review of key concepts and a brief discussion on the equivalence of different mathematical expressions.

Which of the following expressions is equivalent to 64?

• 2 to the 8th power

• 4 to the 3rd power

• 32 squared

• 16 to the 4th power

What is the value of 3 to the fourth power?

• 27

• 64

• 81

• 12

Which expression is equal to 3 to the fourth power?

• 4 to the third power

• 9 squared

• 3 times 4

• 3 plus 4

What is the result of 4 to the 5th power?

• 256

• 1024

• 4096

• 16

Which of the following is equivalent to 6 to the third power?

• 6 squared times 6

• 6 to the fourth divided by 6

• 2 to the third times 3 to the third

• All of the above

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

• 3(xy + yz)

• y(3x + 6z)

• x(3y + 6z)

• 3(x + y) + 6(z + y)

What is another way to express 3xy + 6yz using the distributive property?

• 3(xy + yz)

• 3(x + y) + 6(z + y)

• 3(x + y + z)

• 3(xy + 2yz)

Which expression represents the total area of a large rectangle?

• 6m + 6n

• 6n + m

• m + n times 6

• 6(m + n)

Is 45 hundredths times 72 equivalent to 45 seventy-seconds times 100?

• Only if you multiply by 10.

• No, they are not equivalent.

• Yes, they are equivalent.

• Only if you divide by 10.

Is 16% of 250 the same as 250% of 16?

• Yes, both equal 40.

• No, they are different.

• Only if you multiply by 2.

• Only if you divide by 2.