Question

Write down each of the following in Exponential form :-

$6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2$

Answer 1

Exponential form :- The exponential form is an easier way of writing repeated multiplication involving base and exponents.

In this form, the power represents the number of times we are multiplying the base by itself.

Here in this given question ,

$$\begin{gathered} Exponentialformof:-6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2 \\ 6a^3{x}^3=6\times a\times a\times a\times x\times x\times x \\ 17x^2{y}^4=17\times x\times x\times y\times y\times y\times y \\ 3y^2{a}^2=3\times y\times y\times a\times a \end{gathered}$$.

$Therefore,6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2=6\times a\times a\times a\times x\times x\times x\times 17\times x\times x\times y\times y\times y\times y\times 3\times y\times y\times a\times a$

$$\begin{gathered} =6\times 17\times 3\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y\times a\times a\times a\times a\times a \\ =306x^5{y}^6{a}^5. \end{gathered}$$

Hence, the Exponential form of $6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2$ is $306x^5{y}^6{a}^5.$