Express the following as a product of powers of their prime factors: 2025

Solution:

Given, the number is 2025

We have to express the number as a product of the powers of their prime factors.

Finding the factors of the number,

By using prime factorization

Now, 2025 = 3 × 3 × 3 × 3 × 5 × 5

= 3⁴ × 5²

Therefore, the required value is 3⁴ × 5².

✦ Try This: Express the following as a product of powers of their prime factors: 2401

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 80 (b)

Express the following as a product of powers of their prime factors: 2025

Summary:

2025 as a product of powers of their prime factors is 3⁴ × 5².

☛ Related Questions:

• Express the following as a product of powers of their prime factors: 800
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• Express the following in single exponential form: 2⁴ × 4²