Q. Simplify. Express your answer using a single exponent.(6n9)3
Apply power rule: Apply the power of a power rule.The power of a power rule states that when raising a power to another power, you multiply the exponents. In this case, we have (6n9)3, which means we need to raise both 6 and n9 to the power of 3.(6n9)3=63×(n9)3
Calculate 63: Calculate 63.To find 63, we multiply 6 by itself three times.63=6×6×6=216
Calculate (n9)3: Calculate (n9)3. Using the power of a power rule, we multiply the exponents 9 and 3. (n9)3=n(9×3)=n27
Combine results: Combine the results.Now we combine the results from Step 2 and Step 3 to get the final simplified expression.(6n9)3=63×n27=216n27
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