Evaluating Algebraic Expressions Exponents

Write 2 ⁸ with a base of 4.

• (2 x 2 ) x (2 x 2) x (2 x 2) x ( 2 x 2)

• 4 x 4 x 4 x 4

• 4 ³

• 4⁴

The value of 3³ is how many times as great as value of 3?

• 12x

• 2x

• 9x

• 27x

The value of 3³ is how many times as great as value of 3²?

• 12x

• 3x

• 9x

• 27x

The value of 3¹⁰ is how many times as great as value of 3⁷?

• 12x

• 3x

• 9x

• 27x

The value of 2⁵ is how many times as great as value of 2²?

• 16x

• 4x

• 2x

• 8x

What is the value of ( .5 )³ ?

• .125

• 1.25

• 12.5

• .0125

What is the value of ( .5 )² ?

• .25

• .025

• 0.025

• 2.5

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x = 4 cm. Show your work.

• 91 cm³

• 43 cm³

• 80 cm³

• 81 cm³

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x =6 cm. Show your work.

• 243 cm³

• 263 cm³

• 280 cm³

• 281 cm³

What is the value of ( .5 )⁵ ?

• 312.5

• .03125

• 3.125

• 31.25