Question

Evaluate the power. $$ 4^{6} $$

Short answer

The result of \(4^{6}\) is 4096.

Step-by-step solution

Understand the Power

The task is to compute \(4^{6}\). This means the base number '4' needs to be multiplied by itself six times. In mathematical words: \(4*4*4*4*4*4\).

Execute the Multiplication

Now, multiply the base number 4 by itself six times as stipulated by the power. Starting with \(4*4 = 16\) for the first two fours, then multiply the result by 4 and so on. It will look like: \(16*4 = 64\), \(64*4 = 256\), \(256*4 = 1024\), \(1024*4 = 4096\).

Write down the Result

The result of \(4^{6}\) is 4096 based on the calculations in the previous step.