# What is 125 in the exponential form?

**Exponents and powers** are a method to express repeated multiplication of the same number. For eg- 6×6×6×6 can be written as 6^{4} 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 10^{5}.

**Laws of Exponents**

- To multiply two exponential numbers with the same bases, the exponents are added and the base remains the same. For eg- a
^{m }× a^{n }= a^{m+n} - When the exponent has another exponent, the base remains the same but the powers are multiplied.

For eg- (a^{m})^{n }= a^{m×n} - To divide two exponential numbers with the same bases, the exponents are subtracted and the base remains the same.

For eg- a^{m}/a^{n }= a^{m-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 10^{13} and 0.000000016 can be written as 1.6 × 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 × 5 × 5

The factors appeared for 3 times.

125 = 5

^{3}Hence, the power notation of 125 is 5

^{3}.

### 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 × 2 × 2 × 2 × 2

The factors appeared for 5 times.

32 = 2

^{5}Hence, the power notation of 32 is 2

^{5}.

**Question 2: What is the power notation of 216?**

**Solution:**

Given that the number is 216.

The factors of 216 are 216 = 2 × 2 × 2 × 3 × 3 × 3 = 6 × 6 × 6

The factor appeared for 3 times.

216 = 6

^{3}Hence, the power notation of 216 is 6

^{3}.