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Simplify. Express your answer using positive exponents.\newline(7u)(2u)(5u4)(7u)(2u)(5u^4)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(7u)(2u)(5u4)(7u)(2u)(5u^4)
  1. Group coefficients and powers: Step 11: Group the coefficients and the powers of uu.$7u\$7u(22u)(55u^44)\) can be rewritten as (7×2×5)×(u×u×u4)(7 \times 2 \times 5) \times (u \times u \times u^4).
  2. Calculate product of coefficients: Step 22: Calculate the product of the coefficients. 7×2×5=14×5=707 \times 2 \times 5 = 14 \times 5 = 70.
  3. Combine powers using rule of exponents: Step 33: Use the rule of exponents to combine the powers of uu.u×u×u4=u(1+1+4)=u6u \times u \times u^4 = u^{(1+1+4)} = u^6.
  4. Combine results from steps: Step 44: Combine the results from steps 22 and 33. 70∗u6=70u670 * u^6 = 70u^6.

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