Class 8 Exam > Class 8 Notes > Worksheets with Solutions for Class 8 > Worksheet: Power Play
Worksheet: Power Play | Worksheets with Solutions for Class 8 PDF Download
Multiple Choice Questions
Q1: What is the base of the exponent 69?
(a) 6
(b) 2
(c) 9
(d) None
Q2: Find the missing number
(a) 2
(b) −5
(c) 1
(d) None
Q3: Find the value of (52)2
(a) 125
(b) 625
(c) 25
(d) 0
Q4: Find the value of x, when 2x=44
(a) x=6
(b) x=2
(c) x=8
(d) x=−5
Q5: Find the value of (211+62−51)0= ?
(a) 0
(b) −1
(c) 1
(d) None
State true or false
Q1: (100+120)(160+120)=82
Q2: (34)2=38
Q3: (52)3=100000
Q4: Among 27,32,42, and 63, 63 is the greatest.
Q5: 625 can be expressed as 45.
Answer the following Questions
Q1: Follow the pattern and complete
Q2: If 2x × 5x=1000 then x=?
Q3: Find 33+ 43 + 53 and give the answers in cube
Q4: Find the missing number x in 52+x2=132
Q5: Simplify in exponent form (34× 32)÷ 3−4
Q6: Expand
(a) 1526.26
(b) 8379
Using exponents
Q7: Express the following number as a product of powers of prime factors.
(a) 1225
(b) 3600
Q8: Express the following large no’s in its scientific notation.
(a) 491200000
(b) 301000000
Q9: Express the following in usual form
(a) 3.02 ×10−6
(b) 5.8 × 1012
Q10: Prove that
You can access the solutions to this unit test here.
The document Worksheet: Power Play | Worksheets with Solutions for Class 8 is a part of the Class 8 Course Worksheets with Solutions for Class 8.
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FAQs on Worksheet: Power Play - Worksheets with Solutions for Class 8
| 1. What are exponents and how are they used in mathematics? |  |
Ans. Exponents, also known as powers, are a way to express repeated multiplication of a number by itself. For example, 2³ means 2 multiplied by itself three times, which equals 2 × 2 × 2 = 8. Exponents simplify the writing and calculation of large numbers, making it easier to perform operations such as multiplication and division.
| 2. What are the laws of exponents and how do they apply to calculations? | |
Ans. The laws of exponents are rules that describe how to handle operations involving exponents. Some key laws include:
1. aᵐ × aⁿ = a^(m+n) (Multiplication of like bases)
2. aᵐ ÷ aⁿ = a^(m-n) (Division of like bases)
3. (aᵐ)ⁿ = a^(m×n) (Power of a power)
4. a⁰ = 1 (Any number to the power of zero is one)
These laws are essential for simplifying expressions and solving equations that involve exponents.
| 3. How do you simplify expressions with exponents? | |
Ans. To simplify expressions with exponents, you can apply the laws of exponents. For example, to simplify 3² × 3⁴, you would add the exponents (2 + 4) to get 3⁶. If you have an expression like (x²)³, you would multiply the exponents (2 × 3) to get x⁶. Always look for opportunities to combine like terms and apply the rules correctly to achieve the simplest form.
| 4. What is the difference between positive and negative exponents? | |
Ans. Positive exponents indicate how many times to multiply the base by itself, while negative exponents indicate how many times to divide by the base. For instance, a⁻ⁿ is equivalent to 1/aⁿ. This means that 5⁻² = 1/5² = 1/25. Understanding this concept is important for manipulating expressions involving fractions and for solving equations that include negative exponents.
| 5. Can you provide real-life applications of exponents? | |
Ans. Exponents have various real-life applications. They are used in scientific notation to express very large or very small numbers, such as in astronomy to describe distances in space or in chemistry to discuss concentrations. Exponents are also used in finance to calculate compound interest, where the amount of interest earned grows exponentially over time, and in computer science for analyzing algorithms and data processing speeds.
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