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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

Solution:

A larger number can be written using an exponential notation in which there is a base and a smaller raised number called its power or exponent.

Exponent represents how many times the base will be multiplied by itself.

(i) 6 × 6× 6× 6

6 is multiplied 4 times

Base = 6 and Exponent = 4

6× 6× 6× 6 = 6⁴

So, exponential form is 6⁴

(ii) t × t

t is multiplied 2 times

Base = t and Exponent = 2

t × t = t²

So, exponential form is = t ²

(iii) b × b × b × b

b is multiplied 4 times

Base = b, exponent = 4

b × b × b × b = b⁴

So, exponential form is b⁴

(iv) 5 × 5 × 7 × 7 × 7

5 is multiplied 2 times and 7 is multiplied 3 times.

The base is 5 and 7 and exponent of 5 is 2 and 7 is 3.

5 × 5 × 7 × 7 × 7 = 5² × 7³

So, exponential form is 5² × 7³

(v) 2 × 2 × a × a

2 is multiplied 2 times, a is multiplied 2 times

Base is 2 and a and exponent of 2 is 2 and a is 2

2 × 2 × a × a = 2² × a²

So, exponential form is 2² × a²

(vi) a × a × a × c × c × c × c × d

In this, a is multiplied 3 times, c is multiplied 4 times, and d once.

The base is a, c and d. The exponent of a is 3, c is 4 and d is 1

a × a × a × c × c × c × c × d = a³ × c⁴ × d

So, exponential form is a³ × c⁴ × d

☛ Check: NCERT Solutions for Class 7 Maths Chapter 13

Video Solution:

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

Maths NCERT Solutions Class 7 Chapter 13 Exercise 13.1 Question 2

Summary:

Exressing the following in exponential form: (i) 6 × 6 × 6 × 6 = 6⁴(ii) t × t = t²(iii) b × b × b × b = b⁴(iv) 5 × 5 × 7 × 7 × 7 = 5² × 7³(v) 2 × 2 × a × a = 2² × a²(vi) a × a × a × c × c × c× c × d = a³× c⁴× d

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