### Video Transcript

Simplify π₯ cubed all squared.

The first thing to consider here is what we mean by squared. Squaring a number or expression means multiplying it by itself. Therefore, π₯ cubed squared means π₯ cubed multiplied by π₯ cubed. In order to simplify this, we need to consider one of the laws of indices: π₯ to the power of π multiplied by π₯ to the power of π is equal to π₯ to the power of π plus π.

When we are multiplying, we can add the exponents or indices. Adding three and three gives us an answer of six. Therefore, π₯ cubed all squared is equal to π₯ to the power of six. This leads us to a quicker method to solve the initial problem.

One of the other laws of indices states that π₯ to the power of π to the power of π is equal to π₯ to the power of π multiplied by π. In our example, this means that we can rewrite π₯ cubed all squared as π₯ to the power of three times two. Three multiplied by two is equal to six. Therefore, our answer is π₯ to the power of six.