Express the following in exponential form : a × a × b × b × b × c × c × c × c

Solution:

Given, a × a × b × b × b × c × c × c × c

We have to express in exponential form.

For any non-zero integers ‘a’ and whole numbers m

a × a × a⋯ m times = a^m

Considering a × a,

Number of times the term a is repeated = 2

So, m = 2

a^m = a²

Considering b × b × b,

Number of times the term b is repeated = 3

So, m = 3

a^m = b³

Considering c × c × c × c,

So, m = 4

a^m = c⁴

So, a × a × b × b × b × c × c × c × c = a² × b³ × c⁴

Therefore, the required value is a² × b³ × c⁴.

✦ Try This: Express the following in exponential form : p × p × p × p × q × q × r × r × r

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 76 (b)

Express the following in exponential form : a × a × b × b × b × c × c × c × c

Summary:

The exponential form of a × a × b × b × b × c × c × c × c is a² × b³ × c⁴.

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