Exponents and Radicals Practice

Mrs. Nelson introduces a sixth-grade math lesson on equivalent exponential expressions. The lesson focuses on solving equations with exponents, including x squared equals 64, x cubed equals 64, 2 to the x power equals 32, and fractions like 2/5 cubed and x squared equals 16/9. Students are guided through each problem, learning to find solutions by understanding the properties of exponents and multiplication.

What is the main objective of the lesson on equivalent exponential expressions?

• To find solutions to equations with exponents

• To learn about fractions

• To explore geometric shapes

• To understand basic arithmetic

If x squared equals 64, what is the value of x?

• 6

• 7

• 8

• 9

What is the equivalent expression for x squared?

• x / x

• x * x

• x - x

• x + x

Which number, when cubed, equals 64?

• 2

• 5

• 3

• 4

Which number is too large when cubed to equal 64?

• 4

• 6

• 3

• 5

What is the equivalent expression for x cubed?

• x + x + x

• x * x * x

• x - x - x

• x / x / x

What is the value of x if x cubed equals 64?

• 2

• 4

• 5

• 3

What is the value of x if 2 to the power of x equals 32?

• 3

• 4

• 5

• 6

How many times must 2 be multiplied by itself to equal 32?

• 3

• 6

• 4

• 5

What is the value of x if 2 to the power of x equals 32?

• 5

• 6

• 4

• 3