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Simplify. Express your answer using a single exponent.\newline(7u5)2(7u^5)^2

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Q. Simplify. Express your answer using a single exponent.\newline(7u5)2(7u^5)^2
  1. Apply Power Rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. For the expression (7u5)2(7u^5)^2, we apply this rule to the variable uu.\newline(7u5)2=72×(u5)2(7u^5)^2 = 7^2 \times (u^5)^2
  2. Calculate 727^2: Calculate 727^2.\newline727^2 is 77 multiplied by itself.\newline72=7×7=497^2 = 7 \times 7 = 49
  3. Calculate (u5)2(u^5)^2: Calculate (u5)2(u^5)^2. We multiply the exponents for uu. (u5)2=u(5×2)=u10(u^5)^2 = u^{(5 \times 2)} = u^{10}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have found that 72=497^2 = 49 and (u5)2=u10(u^5)^2 = u^{10}. Now we combine these to express the simplified form of the original expression.\newline(7u5)2=49u10(7u^5)^2 = 49u^{10}

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