Express the following number using exponential notations : 144/875

Solution:

Given, the number is 144/875.

We have to express the number using exponential notations.

Finding the factors of the number,

By using prime factorization

144 = 2 × 2 × 2 × 2 × 3 × 3

= 2⁴ × 3²

875 = 5 × 5 × 5 × 7

= 5³ × 7

So, 144/875 = (2⁴ × 3²)/(5³ × 7)

Therefore, the exponential notation is (2⁴ × 3²)/(5³ × 7).

✦ Try This: Express the following number using exponential notations : 729/64

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 78 (c)

Express the following number using exponential notations : 144/875

Summary:

The exponential notation of the number 144/875 is (2⁴ × 3²)/(5³ × 7)

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