Question

express the number 15625 in exponential form

Answer 1

5
$5 \times 5 \times 5 \times 5 \times \times 5$

Answer 2

15625 = 5⁶

Given :

The number 15625

To find :

To express the number 15625 in exponential form

Concept :

For a rational number a and natural number n

$\sf {a}^{n} = a \times a \times . \: . \: . \times a \: (n \: times)$

where a is called the base and n is called the exponent and aⁿ is the exponential

form.

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is 15625

Step 2 of 2 :

Express the number in exponential form

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{5}}}&{\underline{\sf{\:\:15625 \:\:}}}\\ {\underline{\sf{5}}}&\underline{\sf{\:\:3125 \:\:}} \\ {\underline{\sf{5}}}&\underline{\sf{\:\:625 \:\:}} \\\underline{\sf{5}}&\underline{\sf{\:\:125\:\:}}\\\underline{\sf{5}}&\underline{\sf{\:\:25\:\:}} \\ {\underline{\sf{5}}}&\underline{\sf{\:\:5\:\:}}\\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

Thus we have ,

15625 = 5 × 5 × 5 × 5 × 5 × 5

∴ 15625 = 5⁶

Which is the required exponential form

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