Ex 13.1 Q3 Exponents and Powers Solution- NCERT Maths Class 7

Go back to  'Ex.13.1'

Question

 Express each of the following numbers using exponential notation:

(i) \(512 \)     (ii) \(343\)      (iii) \(729 \)     (iv) \(3125\)

Text Solution

What is known? 

Numbers

What is unknown? 

Base and Exponent of the given numbers.

Reasoning.

In this question, first find factors of the given number and then form its exponential form.

Steps:

(i) \( 512 \)

Factors\(= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)

Base \(=\) \(2\) and exponent \(=\) \(9\)

So, exponential form is \( 2^9\)

(ii) \(343\)

Factors \(= 7 \times 7 \times 7\)

Base \(=\) \( 7\) and exponent \(=\) \(3\)

So, exponential form is \(=\) \(7^3\)

(iii) \(729\)

Factors \(= 3 \times 3 \times 3 \times 3 \times 3 \times 3\)

Base \(=\) \( 3\) and exponent \(=\) \( 6 \)

So, exponential form \( 3^6\)

(iv) \(3125\)

Factor\(= 5 \times 5 \times 5 \times 5 \times 5\)

Base \(=\) \(5\) and exponent \(=\) \(5\)

So, exponential form \(5^5\)

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school