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Simplify. Express your answer using a single exponent.
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Q. Simplify. Express your answer using a single exponent.
- Apply Power Rule: Apply the power to a power rule.When raising a power to another power, we multiply the exponents. For the base , which is a constant, we simply square it. For the variable raised to the th power, we multiply the exponents.$(\(9\)u^\(5\))^\(2\) = \(9\)^\(2\) \times (u^\(5\))^\(2\)
- Calculate \(9^2\): Calculate \(9^2\). \(\newline\)\(9^2 = 9 \times 9 = 81\)
- Calculate \((u^5)^2\): Calculate \((u^5)^2\).\((u^5)^2 = u^{(5 \times 2)} = u^{10}\)
- Combine Results: Combine the results from Step \(2\) and Step \(3\).\(\newline\)\((9u^5)^2 = 81 \times u^{10}\)
- Write Final Expression: Write the final simplified expression.\(\newline\)The expression \((9u^5)^2\) simplifies to \(81u^{10}\).
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