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91Ó°ÊÓ

Simplify each exponential expression. $$\left(x^{11}\right)^{5}$$

Short Answer

Expert verified
\(x^{55}\)

Step by step solution

01

Identify the Base and Exponents

The given expression is \((x^{11})^{5}\). Here the base is \(x\), and it is raised to two exponents, 11 and 5.
02

Apply the Power of a Power Rule

Next, we apply the rule that says when a power is raised to a power, the exponents are multiplied together. This gives us \(x^{(11*5)}\).
03

Perform the Multiplication

Perform the multiplication in the exponent to get the final simplified expression. This results in \(x^{55}\).

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