Q. Simplify. Express your answer using a single exponent.(3u9)3
Apply Power Rule: Apply the power of a power rule to the expression (3u9)3. The power of a power rule states that when raising a power to another power, you multiply the exponents. In this case, we have an exponent of 9 being raised to the power of 3. (3u9)3=33×(u9)3
Calculate 33: Calculate the value of 33.33 is 3 multiplied by itself 3 times.33=3×3×3=27
Apply Power Rule: Apply the power of a power rule to (u9)3. We multiply the exponents 9 and 3 to get the new exponent for u. (u9)3=u(9×3)=u27
Combine Results: Combine the results from Step 2 and Step 3.We have calculated 33 to be 27 and (u9)3 to be u27. Now we combine these results to get the final simplified expression.(3u9)3=27u27
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