Question

Write each expression as a power raised to a power. There may be more than one correct answer. $$ 5^{x^{2}} $$

Short answer

Question: Rewrite the expression \(5^{x^2}\) as a power raised to a power. Answer: \(5^{(x^2)}\)

Step-by-step solution

Identify the base and the exponent

In the given expression \(5^{x^2}\), the base is 5 and the exponent is \(x^2\).

Rewrite the exponent as a power raised to a power

After identifying the exponent, we can rewrite it as a power raised to a power. In this case, the exponent is \(x^2\), so we can write it as \(x^{2}\).

Combine the base and the new exponent

Now that we have the exponent as a power raised to a power, we can combine it with the base to form the final expression. So, the given expression \(5^{x^2}\) can be written as: $$ 5^{(x^2)} $$ Now, the expression is in the form of a power raised to a power (\(5\) raised to the power of \(x^2\)).