NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers

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Q.1: Find five more such examples, where a number is expressed in exponential form. Also identify the base and the exponent in each case.

Ans : Missing 

Q.2: Express: (i) 729 as a power of 3
(ii) 128 as a power of 2
(iii) 343 as a power of 7

Ans : Missing 

Q.3: Find the value of: 
(i) \( 2 ^ { 6 } \) 
(ii) \( 9 ^ { 3 } \) 
(iii) \( 11 ^ { 2 } \) 
(iv) \( 5 ^ { 4 } \)

Ans : (i) \( 2 ^ { 6 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \) 
(ii) \( 9 ^ { 3 } = 9 \times 9 \times 9 = 729 \) 
(iii) \( 11 ^ { 2 } = 11 \times 11 = 121 \) 
(iv) \( 5 ^ { 4 } = 5 \times 5 \times 5 \times 5 = 625 \) 

Q.4: Express the following in exponential form:
(i) 6 × 6 × 6 × 6
(ii) t × t 
(iii) b × b × b × b
(iv) 5 × 5× 7 × 7 × 7 
(v) 2 × 2 × a × a
(vi) a × a × a × c × c × c × c × d

Ans : (i) \( 6 \times 6 \times 6 \times 6 = 6 ^ { 4 } \)
(ii) \( t \times t = t ^ { 2 } \) 
(iii) \( b \times b \times b \times b = b ^ { 4 } \) 
(iv) \( 5 \times 5 \times 7 \times 7 \times 7 = 5 ^ { 2 } \times 7 ^ { 3 } \) 
(v) \( 2 \times 2 \times a \times a = 2 ^ { 2 } \times a ^ { 2 } \) 
(vi) \( a \times a \times a \times c \times c \times c \times c \times d = a ^ { 3 } c ^ { 4 } d \) 

Q.5: Express each of the following numbers using exponential notation: 
(i) 512 
(ii) 343 
(iii) 729 
(iv) 3125

Ans : (i) \( 512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2 ^ { 9 } \) 
(ii) \( 343 = 7 \times 7 \times 7 = 7 ^ { 3 } \) 
(iii) \( 729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3 ^ { 6 } \)
(iv) \( 3125 = 5 \times 5 \times 5 \times 5 \times 5 = 5 ^ { 5 } \) 

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