# What is 125 in the exponential form?

Exponents and powers are a method to express repeated multiplication of the same number. For eg- 6Ã—6Ã—6Ã—6 can be written as 64 where 6 is the base and 4 is the exponent. It is most commonly used to express the powers of 10 to write a very large number in a convenient manner. For eg- 100000 can be written as 105.

### Laws of Exponents

• To multiply two exponential numbers with the same bases, the exponents are added and the base remains the same. For eg- am Ã— an = am+n
• When the exponent has another exponent, the base remains the same but the powers are multiplied.
For eg- (am)n = amÃ—n
• To divide two exponential numbers with the same bases, the exponents are subtracted and the base remains the same.
For eg- am/an = am-n

### What is a Power Notation?

Power notation is a method to express numbers that are very large or very small. For eg- 10000000000000 can be written as 1013 and 0.000000016 can be written as 1.6 Ã— 10-8

Steps to write a number in the power notation:

Step 1: Write the number and do its factorization.

Step 2: Count the number of times the factor is there.

Step 3: Write the exponential number with the number as the base and the number of times it appeared as the power.

### What is 125 in the exponential form?

Solution:

Given that the number is 125.

The factors of 125 are 125 = 5 Ã— 5 Ã— 5

The factors appeared for 3 times.

125 = 53

Hence, the power notation of 125 is 53.

### Similar Questions

Question 1: What is the power notation of 32?

Solution:

Given that the number is 32.

The factors of 32 are 32 = 2 Ã— 2 Ã— 2 Ã— 2 Ã— 2

The factors appeared for 5 times.

32 = 25

Hence, the power notation of 32 is 25.

Question 2: What is the power notation of 216?

Solution:

Given that the number is 216.

The factors of 216 are 216 = 2 Ã— 2 Ã— 2 Ã— 3 Ã— 3 Ã— 3 = 6 Ã— 6 Ã— 6

The factor appeared for 3 times.

216 = 63

Hence, the power notation of 216 is 63.

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