# Lesson Worksheet: Evaluating Expressions: Exponents Mathematics

In this worksheet, we will practice evaluating algebraic expressions with variable exponents or bases.

**Q1: **

If and , find the value of .

**Q2: **

If and , then what is the value of ?

- A
- B9
- C
- D14
- E

**Q3: **

If and , find the value of .

**Q4: **

Calculate the numerical value of when and .

- A
- B
- C
- D

**Q5: **

If and , what is ?

- A
- B9
- C
- D
- E

**Q6: **

Given that , determine the value of .

**Q7: **

Given that , find the value of .

- A
- B
- C
- D
- E

**Q8: **

What is the value of if ?

**Q9: **

The volume of a right circular cone is given by ,
where . If the volume of a right circular cone equals 462 cm^{3}
and the radius of its base is
7 cm, find the height of the cone.

**Q10: **

The volume of a sphere is given by ,
where . If the volume of a sphere equals
310,464 cm^{3}, find the radius of the sphere.