Q. Simplify. Express your answer using a single exponent.(9j4)2
Apply Power Rule: Apply the power to a power rule.The power to a power rule states that when you raise a power to another power, you multiply the exponents. In this case, we have (9j4)2, which means we need to apply the exponent of 2 to both 9 and j4.(9j4)2=92×(j4)2
Calculate 92: Calculate 92. 92 means 9 multiplied by itself, which is 81. 92=81
Calculate (j4)2: Calculate (j4)2. Using the power to a power rule, we multiply the exponents 4 and 2. (j4)2=j(4∗2)=j8
Combine Results: Combine the results.Now we combine the results from Step 2 and Step 3 to get the final simplified expression.(9j4)2=81×j8
More problems from Powers of a power: variable bases