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

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## 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 $$5^5$$

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