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Chapter 6: Problem 95

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

Short Answer

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

Step by step solution

01

Identify the base and the exponent

In the given expression \(5^{x^2}\), the base is 5 and the exponent is \(x^2\).
02

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 \(x^{2}\).
03

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 \(x^2\)).

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