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Simplify. Express your answer using positive exponents.\newline(8u5)(7u)(8u^5)(7u)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(8u5)(7u)(8u^5)(7u)
  1. Identify and group terms: Step 11: Identify and group similar terms.\newline(8u5)(7u)(8u^5)(7u) can be rewritten by grouping the coefficients and the powers of uu.\newline(8×7)(u5×u)(8 \times 7)(u^5 \times u)
  2. Multiply coefficients: Step 22: Multiply the coefficients.\newline8×7=568 \times 7 = 56
  3. Apply exponent rule: Step 33: Apply the rule of exponents am×an=a(m+n)a^m \times a^n = a^{(m+n)}.u5×u=u(5+1)=u6u^5 \times u = u^{(5+1)} = u^6
  4. Combine results: Step 44: Combine the results from steps 22 and 33.\newline56×u6=56u656 \times u^6 = 56u^6

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