Mathematics Power Calculator

The power of a number is nothing but how many times a given number is multiplied by itself. And the formula of the exponent is, 

aⁿ = a x a x a x ..... x  up to n times.

And the power of a number can be expressed as aⁿ.

Rules to Calculate the Powers of a Number

• If the power is a negative number then it will be rewritten as [1 / aⁿ ].
• If the base is the same and the powers are different then we can add the powers as aⁿ x a^m = a^m+n.
• If the number has the power of 0 it will be equal to 1.
• If the power is a fraction then it will be calculated by adding a square root, i.e.,  a^1/2 = √a.

Example:

Question 1: Calculate 8 to the power of 5?

Solution:

Given, 8⁵.

As we know the formula,

aⁿ = a x a x a x ..... x  up to n times.

Now, 8⁵ = 8 x 8 x 8 x 8 x 8 = 32,768.

Therefore, 8 to the power of 5 is 32,768.

Question 2: Calculate 5 to the power of -9?

Solution:

Given, 5^-9.

Now as we know the rules,

If the power is a negative number then it will be rewritten as [1 / aⁿ ].

Now, 5^-9  = 1/ [5^-9] = 1/ 5x5x5x5x5x5x5x5x5 = 1/ 19,53,125.

Therefore, 5 to the power of -9 is 1/ 19,53,125.

FAQs on Powers of a Number Calculator

1. What is Exponent?

Exponent is nothing but calculating the number multiplied by itself. And it is expressed as aⁿ.

2. What are the rules to follow when you calculate powers?

• If the power is a negative number then it will be rewritten as [1 / aⁿ ].
• If the base is the same and the powers are different then we can add the powers as aⁿ x a^m = a^m+n.
• If the number has the power of 0 it will be equal to 1.
• If the power is a fraction then it will be calculated by adding a square root, i.e.,  a^1/2 = √a.

3. How to use this mathematics power calculator?

Simply give the inputs in the input field and then tap the calculate button and get the result.