Question

what is the exponential form of 3125

Answer 1

The exponential form of 3125 = 5⁵

Given :

The number 3125

To find :

The exponential form of 3125

Solution :

Step 1 of 3 :

Write down the given number

The given number is 3125

Step 2 of 3 :

Prime factorise the given number

On prime factorisation we get

3125 = 5 × 5 × 5 × 5 × 5

Step 3 of 3 :

Write down the exponential form of 3125

Number of 5's in prime factorisation of 3125 = 5

Thus we get

$\sf 3125 = {5}^{5}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

https://brainly.in/question/47883149

2. Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730

Answer 2

Given,

The number is 3125.

To find,

The exponential form of 3125.

Solution,

The exponential form of 3125 is 5^5.

We can easily solve this numerical problem by following the given steps.

Now,

We first need to find the prime factors of 3125.

3125 = 5 × 5 × 5 × 5 × 5

3125 = 5^5.

Hence, the exponential form is 5^5.

( More things to know:

• The powers are added in multiplication when the base is the same. For example, the value of 2² × 2² will be 2⁴.
• In division, the powers are subtracted when the base is the same. For example, the value of 4³ ÷ 4 will be 4².
• If the power is zero, then the value of the expression will always be 1.)