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Power of a Number Calculator





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Calculating the Power of a Number

In mathematics, raising a number to a power means multiplying that number by itself a certain number of times. The operation is expressed as \(x^y\), where \(x\) is the base and \(y\) is the exponent. The exponent tells you how many times to multiply the base by itself. This operation is fundamental in various fields such as algebra, calculus, and scientific computations.

For example, the expression \(5^3\) represents multiplying 5 by itself three times:

\(5^3 = 5 \times 5 \times 5\)

This equals 125.

Examples

Let’s explore some examples to understand how to calculate the power of a number.

1. Calculate the value of 5 raised to the power of 3.

Answer

First, we identify the given values:

Given:

  • Base (x): 5
  • Exponent (y): 3

Next, we calculate the value of 5 raised to the power of 3:

Steps:

  • \(5^3 = 5 \times 5 \times 5\)
  • The product is 125.

Result:

∴ The value of 5 raised to the power of 3 is 125.

2. Calculate the value of 2 raised to the power of 8.

Answer

We start by identifying the given values:

Given:

  • Base (x): 2
  • Exponent (y): 8

Next, we calculate the value of 2 raised to the power of 8:

Steps:

  • \(2^8 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
  • The product is 256.

Result:

∴ The value of 2 raised to the power of 8 is 256.

3. Determine the value of 10 raised to the power of 4.

Answer

First, we identify the given values:

Given:

  • Base (x): 10
  • Exponent (y): 4

Next, we calculate the value of 10 raised to the power of 4:

Steps:

  • \(10^4 = 10 \times 10 \times 10 \times 10\)
  • The product is 10,000.

Result:

∴ The value of 10 raised to the power of 4 is 10,000.

4. Calculate the value of 7 raised to the power of 2.

Answer

We start by identifying the given values:

Given:

  • Base (x): 7
  • Exponent (y): 2

Next, we calculate the value of 7 raised to the power of 2:

Steps:

  • \(7^2 = 7 \times 7\)
  • The product is 49.

Result:

∴ The value of 7 raised to the power of 2 is 49.