Q. Simplify. Express your answer using a single exponent.(7j4)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 (7j4)2, which means we need to apply the exponent of 2 to both 7 and j4.(7j4)2=72×(j4)2
Calculate 72: Calculate 72. 72 means 7 multiplied by itself, which is 49. 72=49
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.(7j4)2=49×j8=49j8
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