To calculate 3 raised to the power of 6, we need to multiply 3 by itself a total of six times. This can be expressed mathematically as:
36 = 3 × 3 × 3 × 3 × 3 × 3
Now, let’s break it down step by step:
- First multiplication: 3 × 3 = 9
- Second multiplication: 9 × 3 = 27
- Third multiplication: 27 × 3 = 81
- Fourth multiplication: 81 × 3 = 243
- Fifth multiplication: 243 × 3 = 729
Thus, 3 raised to the power of 6 equals 729:
36 = 729
This means that if you have 3 multiplied by itself 6 times, the result is 729. It’s a great example of how exponentiation works, reflecting the rapid growth of numbers when raised to higher powers!