Express the following in exponential form : 3 × 3 × 3 × a × a × a × a

Solution:

Given, 3 × 3 × 3 × a × a × a × a

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 3 × 3 × 3,

Number of times the term 3 is repeated = 3

So, m = 3

a^m = 3³

Considering a × a × a × a,

Number of times the term a is repeated = 4

So, m = 4

a^m = a⁴

So, 3 × 3 × 3 × a × a × a × a = 3³ × a⁴

We know 3³ = 3 × 3 × 3 = 27

= 27a⁴

Therefore, the required value is 27a⁴

✦ Try This: Express the following in exponential form : 2 × 2 × x × x × y × y × y

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

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

Express the following in exponential form : 3 × 3 × 3 × a × a × a × a

Summary:

The exponential form of 3 × 3 × 3 × a × a × a × a is 27a⁴

☛ Related Questions:

• Express the following in exponential form : a × a × b × b × b × c × c × c × c
• Express the following in exponential form : s × s × t × t × s × s × t
• How many times of 30 must be added together to get a sum equal to 30⁷