Question

Write your answer as a power or as a product of powers. $$ (2 x)^{2} $$

Short answer

The expression \((2x)^2\) can be written as: \(4x^2\).

Step-by-step solution

Apply the power of a power rule

Power of a power rule states that when you have a power of a power, like \((a^n)^m\), you multiply the exponents together. Here, we have \((2x)^2\), which means 2 and x are both to the second power. So, this expression can be written as \(2^2 \cdot x^2\).

Simplify the numerical exponent part

Now, \(2^2\) simply equals 4.

Write final result

Putting it all together, the expression \((2x)^2\) gets simplified to \(4x^2\).