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Chapter 4: Exponents and Powers > Easy Level Worksheet Questions

Easy Level Worksheet Questions

Part A: Subjective Questions

Note: Write the answers neatly on a sheet and submit them to your school subject teacher.

(1) Simplify: 2³

(2) Write the value of a⁰ where a ≠ 0.

(3) Write the reciprocal of 5⁻².

(4) Express 1000 in exponential form with base 10.

(5) Simplify: 3² × 3³

Drag each example to its correct exponent rule:

2³ × 2⁴ = 2⁷
5⁶ ÷ 5² = 5⁴
(3²)³ = 3⁶
7⁰ = 1
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m-n)
(a^m)^n = a^(mn)
Any non-zero number to power 0 equals 1
Product Rule
Quotient Rule
Power Rule
Zero Exponent Rule

(1) Simplify: (2⁴ × 2³) ÷ 2⁵

(a) First apply product rule: 2⁴ × 2³ = 2⁷

(b) Then apply quotient rule: 2⁷ ÷ 2⁵ =

(c) Final answer: 2² =

(2) Express 1/81 as a power of 3.

(a) Since 81 = 3⁴, then 1/81 =

(3) Evaluate: (5²)³

(a) Apply power rule: (5²)³ = 5^(2×3) =

(b) Calculate: 5⁶ =

(4) Find the value of: 10⁻³ × 10⁵

(a) Apply product rule: 10⁻³ × 10⁵ = 10^(-3+5) =

(b) Final answer: 10² =

Test your understanding with these multiple choice questions:

6. Which of the following is equal to 100000?

(a) 10² (b) 10³ (c) 10⁴ (d) 10⁵

10²
10³
10⁴
10⁵

Correct! 100000 has 5 zeros, so it equals 10⁵.

7. The standard form of 0.00056 is:

(a) 5.6 × 10⁻³ (b) 5.6 × 10⁻⁴ (c) 56 × 10⁻⁵ (d) 0.56 × 10⁻⁴

5.6 × 10⁻³
5.6 × 10⁻⁴
56 × 10⁻⁵
0.56 × 10⁻⁴

Correct! 0.00056 = 5.6 × 10⁻⁴ (move decimal point 4 places right).

8. Simplify: 3⁻¹ + 2⁻¹

(a) 5 (b) 1/5 (c) 5/6 (d) 6/5

5
1/5
5/6
6/5

Correct! 3⁻¹ + 2⁻¹ = 1/3 + 1/2 = 2/6 + 3/6 = 5/6.

9. The value of (-2)³ is:

(a) -6 (b) -8 (c) 6 (d) 8

-6
-8
6
8

Correct! (-2)³ = (-2) × (-2) × (-2) = -8.

10. Which of the following is a negative exponent?

(a) 3² (b) 4⁻² (c) 5⁰ (d) 2³

4⁻²
5⁰

Correct! 4⁻² has a negative exponent (the minus sign in front of 2).