Class 8 Exam > Class 8 Notes > RD Sharma Solutions for Class 8 Mathematics > RD Sharma Solutions - Chapter 2 - Powers (Ex-2.2) Part - 1, Class 8 Math
Chapter 2 - Powers (Ex-2.2) Part - 1, Class 8 Math RD Sharma Solutions | RD Sharma Solutions for Class 8 Mathematics PDF Download
Question 1:Write each of the following in exponential form:
Answer 1:
{am×an=am+n} 
{am×an=am+n}
Question 2:
Evaluate:
(i) 5−2
(ii) (−3)−2
Answer 2:
Question 3: Express each of the following as a rational number in the form p/q:
(i) 6−1
(ii) (−7)−1 
Answer 3:
Question 4:
Simplify:
(i) {4−1×3−1}2
(ii) {5−1÷6−1}3
(iii) (2−1+3−1)−1
(iv) {3−1×4−1}−1×5−1
(v) (4−1−5−1)÷3−1
Answer 4:
Question 5: Express each of the following rational numbers with a negative exponent:
Answer 5:
Question 6: Express each of the following rational numbers with a positive exponent:
Answer 6:
Question 7:
Simplify:
Answer 7:
The document Chapter 2 - Powers (Ex-2.2) Part - 1, Class 8 Math RD Sharma Solutions | RD Sharma Solutions for Class 8 Mathematics is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
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FAQs on Chapter 2 - Powers (Ex-2.2) Part - 1, Class 8 Math RD Sharma Solutions - RD Sharma Solutions for Class 8 Mathematics
| 1. What is the importance of studying powers in mathematics? |  |
Ans. Studying powers in mathematics is important as it helps in understanding and solving various mathematical problems efficiently. It is a fundamental concept used in various other topics like algebra, calculus, and geometry. Powers allow us to represent large numbers in a concise form and simplify complex calculations.
| 2. How do you calculate the value of a number raised to a power? | |
Ans. To calculate the value of a number raised to a power, you need to multiply the number by itself as many times as the power. For example, if you have to find the value of 2 raised to the power of 3 (2³), you multiply 2 by itself three times: 2 x 2 x 2 = 8. So, 2³ is equal to 8.
| 3. What are the properties of powers? | |
Ans. The properties of powers are as follows:
1. Product of Powers Property: When multiplying two numbers with the same base, you add their exponents. For example, aⁿ * aᵐ = aⁿ⁺ᵐ.
2. Quotient of Powers Property: When dividing two numbers with the same base, you subtract their exponents. For example, aⁿ / aᵐ = aⁿ⁻ᵐ.
3. Power of Power Property: When raising a power to another power, you multiply the exponents. For example, (aⁿ)ᵐ = aⁿᵐ.
4. Power of a Product Property: When raising a product to a power, you distribute the power to each factor. For example, (ab)ⁿ = aⁿbⁿ.
| 4. How are negative powers calculated? | |
Ans. Negative powers are calculated by taking the reciprocal of the positive power. For example, a⁻ⁿ = 1 / aⁿ. So, if you have to calculate 2⁻³, it is equal to 1 / 2³, which is 1/8.
| 5. How are powers used in real-life applications? | |
Ans. Powers are used in various real-life applications, such as:
1. Scientific Notation: Powers help represent extremely large or small numbers in a compact form, making it easier to work with them in fields like physics, chemistry, and astronomy.
2. Computing: Powers are used in computer programming and algorithms to perform complex calculations efficiently.
3. Economics: Powers are used in compound interest calculations, where the interest is compounded over time.
4. Engineering: Powers are used in calculations related to electrical circuits, energy consumption, and signal processing.
5. Medicine: Powers are used in pharmacokinetics to model drug concentration over time in the body.
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