Enter any number into the calculator, which will raise that number to the 10th power.

10th Power Formula

The following formula is used to calculate the 10th power of any number.

Y = X^{10}
  • Where Y is the resulting value
  • X is the numer being raised to the 10th power

10th Power Definition

Raising a number to the 10th power means multiplying that number by itself 10 times. For example, 5 to the 10th power would equal 5*5*5*5*5*5*5*5*5*5= 9765625.

How to raise a number to the 10th power?

Example problem #1:

For this first example problem, we will raise the number 4 to the 10th power.

Using the formula above:

Y = X^10

= 4^10

= 4*4*4*4*4*4*4*4*4*4

= 1048576

Example Problem #2

In this next example, we will raise the number 2 to the 10th power.

Using the formula:

Y= X^10

= 2^10

= 1024

What is interesting to note about this result is that even though 2 is only half of 4, when it's raised to the 10th power, the result is 1024 times less than 4 to the 10th power.

FAQ

What does it mean to raise a number to a power?

Raising a number to a power, also known as exponentiation, means multiplying the number by itself a certain number of times. The number of times the multiplication is performed is indicated by the exponent. For example, 3^4 means 3*3*3*3.

Can any number be raised to the 10th power?

Yes, any real number can be raised to the 10th power. This includes positive numbers, negative numbers, and zero. However, the result will vary depending on the base number's value.

How does raising a number to the 10th power affect its value?

Raising a number to the 10th power significantly increases its value if the number is greater than 1. For numbers between 0 and 1, their value decreases as they are raised to the 10th power. Raising a negative number to the 10th power results in a positive value, as an even number of multiplications of a negative number results in a positive product.

Are there practical applications for raising numbers to the 10th power?

Yes, exponentiation, including raising numbers to the 10th power, has practical applications in various fields such as physics, engineering, finance, and computer science. For example, it is used in calculating exponential growth or decay, in the formulation of scientific notations, and in the algorithms of computer programming.