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What is 6 to the 3rd power?

  • Last Updated : 21 Sep, 2021

Exponents and powers are a method to express repeated multiplication of the same number. For eg- 7×7×7 can be written as 73 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 103.

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 × an = am+n.
  • When the exponent has another exponent, the base remains the same but the powers are multiplied. 
    For eg- (am)n = am×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- 1000000000000 can be written as 1012 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.

63 = 6 × 6 × 6

63 = 216

Hence, 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.

124 = 12 × 12 × 12 × 12

124 = 20736

Hence, 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.

36 = 3 × 3 × 3 × 3 × 3 × 3

36 = 729

Hence, 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.

153 = 15 × 15 × 15

153 = 3375

Hence, the value of 15 to the 3rd power is 3375.

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