How to write this in expanded

Question

(X^2)^3

Answer 1

To expand \((X^2)^3\), you can use the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[ (X^2)^3 = X^{2 \cdot 3} = X^6 \]

So, the expanded form of \((X^2)^3\) is \(X^6\).

Answer 2

Could u show without the extra symbols

Answer 3

Certainly! To expand \((X^2)^3\):

1. Start with \((X^2)^3\).
2. You multiply the exponents: \(2 \times 3 = 6\).
3. So, \((X^2)^3\) becomes \(X^6\).

The final result is \(X^6\).

Answer 4

So the expanded form is
(X*x*x)(2*3)?

Answer 5

Let’s clarify the steps in a simpler way without symbols that might confuse.

When we start with \((X^2)^3\):

1. Break down \(X^2\): This means \(X \times X\).
2. Now raise it to the power of \(3\): This means you take \(X \times X\) and repeat it 3 times, like this:
   • First \(X^2\): \(X \times X\)
   • Second \(X^2\): \(X \times X\)
   • Third \(X^2\): \(X \times X\)

Now, it looks like this:

\[ (X \times X) \times (X \times X) \times (X \times X) \]

3. Count the total number of \(X\)s: You have \(3\) groups of \(2\) \(X\)s, which gives you \(3 \times 2 = 6\) \(X\)s.

So you can rewrite it as:

\[ X \times X \times X \times X \times X \times X \]

4. This simplifies to:
   • \(X^6\)

Thus, the expanded form of \((X^2)^3\) without using complex symbols is just \(X\) multiplied by itself six times, or simply \(X^6\).

Answer 6

Oh ok gotcha

Answer 7

Great! I'm glad that explanation helped. If you have any more questions or need further clarification on anything else, feel free to ask!