# Lesson Worksheet: Powers and Exponents for Rational Numbers Mathematics

In this worksheet, we will practice identifying the base and exponent in power formulas, writing them in exponential and expanded forms, and evaluating simple powers.

Q1:

What is ?

• A
• B
• C
• D
• E

Q2:

What terminology do we use to describe the in the expression and the 5 in the expression ?

• A is called the base of the expression, and 5 is called the exponent of the expression.
• B5 is called the base of the expression, and is called the exponent of the expression.

Q3:

What is the base in ?

• A
• B3
• C2
• D
• E4

Q4:

Find the value of , giving your answer in its simplest form.

• A
• B
• C
• D
• E

Q5:

The volume of a cube is of a cubic unit. Express this as a product, evaluating the volume of the cube.

• A cubic units
• B cubic units
• C of a cubic unit
• D cubic units
• E of a cubic unit

Q6:

Calculate .

• A
• B3
• C8
• D
• E

Q7:

Evaluate the expression , giving your answer as a fraction in simplest form.

• A
• B
• C
• D
• E

Q8:

Find an expression for the volume of the given cube whose side lengths are .

• A
• B
• C
• D
• E

Q9:

If , , and , find the numerical value of .

Q10:

If and , find the value of , giving your answer as a fraction in simplest form.

• A
• B
• C
• D
• E