Problem 32
Question
Simplify each exponential expression. $$\left(x^{11}\right)^{5}$$
Step-by-Step Solution
Verified Answer
\(x^{55}\)
1Step 1: 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.
2Step 2: 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 \(x^{(11*5)}\).
3Step 3: Perform the Multiplication
Perform the multiplication in the exponent to get the final simplified expression. This results in \(x^{55}\).
Other exercises in this chapter
Problem 31
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Find the union of the sets. $$\\{0,1,3,5\\} \cup\\{2,4,6\\}$$
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Factor each trinomial, or state that the trinomial is prime. $$9 x^{2}-9 x+2$$
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Multiply or divide as indicated. $$\frac{x^{3}-25 x}{4 x^{2}} \cdot \frac{2 x^{2}-2}{x^{2}-6 x+5} \div \frac{x^{2}+5 x}{7 x+7}$$
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