# Ex 13.1 Q1 Exponents and Powers Solution- NCERT Maths Class 7

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## Question

Find the value of:

(i) \(2^6\)

(ii) \(9^3\)

(iii) \(11^2\)

(iv) \(5^4\)

## Text Solution

**What is known?.**

Base and power.

**What is unknown?**.

Value of the given exponents.

**Steps**:

A larger number can be written in short form using exponential form in which there is a base and a smaller raised number called its power or exponent. Exponent represents how many times base will be multiplied. For example, \(64\) can be written as \(2^6\) here \(2\) is base and \(6\) is the exponent. \(2^6\) means that \( 2\) is multiplied \(6\) times \(8^2\) means \(8\) is multiplied \( 2\) times.

(i)

\({{2}^{6}}=2\times 2\times 2\times 2\times 2\times 2=64\)

(ii)

\({{9}^{3}}=9\times 9\times \ 9=729\)

(iii)

\({{11}^{2}}=11\times 11=121\)

(iv)

\({{5}^{4}}=5\times 5\times 5\times 5=625\)