10 Questions
What is the value of 2^3 × 2^5?
128
If x^(-2) = 1/16, what is the value of x?
2
What is the value of (3^2)^4?
6561
If a^2 = 16, what is the value of a^5?
128
What is the value of (2^3)^(-2) × 2^5?
1/64
What is the value of (5^2)^3?
78125
If x^3 = 27, what is the value of x^(3/2)?
3√3
What is the value of (2^(-3))^(-2)?
16
If a^3 = 64, what is the value of a^(5/3)?
32
What is the value of (3^2) × (3^(-3))?
1/9
Study Notes
Exponents and Powers
- 2^3 × 2^5 = 2^(3+5) = 2^8
Solving for x in x^(-2) = 1/16
- x^(-2) = 1/16 => x^2 = 16 => x = ±4
Powers of Powers
- (3^2)^4 = 3^(2×4) = 3^8
Solving for a in a^2 = 16
- a^2 = 16 => a = ±4 => a^5 = (±4)^5 = ±1024
Simplifying Expressions
- (2^3)^(-2) × 2^5 = 2^(-3×2) × 2^5 = 2^(-6) × 2^5 = 2^(-1) = 1/2
Test your understanding of exponents and powers with these questions from Class 8 ICSE foundation mathematics. Topics include calculating values of exponential expressions and solving equations involving powers.
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