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Simplify. Express your answer using a single exponent.\newline(7j4)2(7j^4)^2

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Q. Simplify. Express your answer using a single exponent.\newline(7j4)2(7j^4)^2
  1. Apply power rule: Apply the power to a power rule.\newlineThe 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(7j^4)^2, which means we need to apply the exponent of 22 to both 77 and j4j^4.\newline(7j4)2=72×(j4)2(7j^4)^2 = 7^2 \times (j^4)^2
  2. Calculate 727^2: Calculate 727^2. 727^2 means 77 multiplied by itself, which is 4949. 72=497^2 = 49
  3. Calculate (j4)2(j^4)^2: Calculate (j4)2(j^4)^2. Using the power to a power rule, we multiply the exponents 44 and 22. (j4)2=j(42)=j8(j^4)^2 = j^{(4*2)} = j^8
  4. Combine results: Combine the results.\newlineNow we combine the results from Step 22 and Step 33 to get the final simplified expression.\newline(7j4)2=49×j8=49j8(7j^4)^2 = 49 \times j^8 = 49j^8