# 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)

$${{5}^{4}}=5\times 5\times 5\times 5=625$$

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