CBSE Class 8  >  Class 8 Notes  >  Mathematics (Maths)   >  Worksheet: Power Play

Worksheet: Power Play

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 

Multiple Choice Questions

(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, 6is the greatest.

Q5: 625 can be expressed as 45.

Answer the following Questions

Q1: Follow the pattern and complete
Answer the following Questions

Q2: If 2× 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 

Answer the following Questions

You can access the solutions to this worksheet here.

The document Worksheet: Power Play is a part of the Class 8 Course Mathematics (Maths) Class 8.
All you need of Class 8 at this link: Class 8

FAQs on Worksheet: Power Play

1. How do I simplify expressions with negative exponents in Power Play problems?
Ans. Negative exponents mean you flip the base to its reciprocal and make the exponent positive. For example, 2⁻³ becomes 1/2³ or 1/8. This rule applies to fractions too: (3/4)⁻² becomes (4/3)². Understanding negative exponent rules helps solve Class 8 power play worksheet questions accurately and quickly.
2. What's the difference between fractional exponents and whole number exponents?
Ans. Whole number exponents repeat multiplication (2³ = 2×2×2), while fractional exponents represent roots. For instance, 16^(1/2) equals √16 or 4, and 8^(1/3) equals ∛8 or 2. Fractional exponents combine both powers and roots, making them essential for power play worksheet problems involving radical expressions and rational exponents.
3. Why do I keep getting wrong answers when multiplying powers with the same base?
Ans. The most common mistake is adding exponents incorrectly or forgetting the rule entirely. When multiplying same bases, always add exponents: a^m × a^n = a^(m+n). Students often multiply the exponents instead, leading to errors. Double-checking this law of exponents prevents mistakes in power play calculations and improves accuracy on worksheet assessments.
4. How do I handle zero exponents and powers of one in CBSE Class 8 problems?
Ans. Any non-zero number raised to the power zero equals 1 (5⁰ = 1). Any number raised to the power one equals itself (7¹ = 7). These special cases appear frequently in power play worksheets. Memorising these rules prevents confusion and saves time during calculations involving exponent laws and simplification tasks.
5. What's the quickest way to solve power play problems involving both multiplication and division of exponents?
Ans. Use the exponent laws systematically: multiply same bases by adding exponents (a^m × a^n = a^(m+n)) and divide by subtracting them (a^m ÷ a^n = a^(m-n)). Apply the power rule for expressions like (a^m)^n = a^(mn). Breaking complex power play expressions into smaller steps using these fundamental laws simplifies worksheet problems and reduces calculation errors significantly.
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