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# Class 8 ICSE Math: Exponents and Powers

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### If a^2 = 16, what is the value of a^5?

<p>128</p> Signup and view all the answers

### What is the value of (2^3)^(-2) × 2^5?

<p>1/64</p> Signup and view all the answers

### What is the value of (5^2)^3?

<p>78125</p> Signup and view all the answers

### If x^3 = 27, what is the value of x^(3/2)?

<p>3√3</p> Signup and view all the answers

### What is the value of (2^(-3))^(-2)?

<p>16</p> Signup and view all the answers

### If a^3 = 64, what is the value of a^(5/3)?

<p>32</p> Signup and view all the answers

### What is the value of (3^2) × (3^(-3))?

<p>1/9</p> Signup and view all the answers

## 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

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## Description

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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