# What is 6 to the 3rd power?

**Exponents and powers** are a method to express repeated multiplication of the same number. For eg- 7×7×7 can be written as 7^{3} where 7 is the base and 3 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- 1000 can be written as 10^{3}.

### 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- 1000000000000 can be written as 10^{12} and 0.00000026 can be written as 2.6 × 10^{-7}.

**Steps to calculate the value of an exponential number:**

- Write the number with its exponent.
- Multiply the number with itself for the number of times equal to its power.
- Make sure the calculation is correct.

### What is 6th to the 3rd power?

**Solution:**

Given that the number is 6 and the power is 3.

Write the number with its exponent.

6

^{3 }= 6 × 6 × 66

^{3 }= 216Hence, the value of 6 to the 3rd power is 216.

### Similar Questions

**Question 1: What is the 12th to the 4th power?**

**Solution:**

Given that the number is 12 and the power is 4.

Write the number with its exponent.

12

^{4 }= 12 × 12 × 12 × 1212

^{4 }= 20736Hence, the value of 12 to the 4th power is 20736.

**Question 2: What is the 3rd to the 6th power?**

**Solution:**

Given that the number is 3 and the power is 6.

Write the number with its exponent.

3

^{6 }= 3 × 3 × 3 × 3 × 3 × 33

^{6 }= 729Hence, the value of 3 to the 6th power is 729.

**Question 3: What is the 15th to the 3rd power?**

**Solution:**

Given that the number is 15 and the power is 3.

Write the number with its exponent.

15

^{3 }= 15 × 15 × 1515

^{3 }= 3375Hence, the value of 15 to the 3rd power is 3375.