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Simplify. Express your answer using positive exponents.\newline(7b3)(9b8)(7b^3)(9b^8)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(7b3)(9b8)(7b^3)(9b^8)
  1. Multiply coefficients and add exponents: Step 11: Multiply the coefficients and add the exponents of bb.(7b3)(9b8)=(7×9)×(b3×b8)(7b^3)(9b^8) = (7 \times 9) \times (b^3 \times b^8)
  2. Calculate 77 multiplied by 99: Step 22: Calculate 77 multiplied by 99.7×9=637 \times 9 = 63
  3. Add exponents of b: Step 33: Add the exponents of b.\newlineb3×b8=b(3+8)=b11b^3 \times b^8 = b^{(3+8)} = b^{11}
  4. Combine results from steps: Step 44: Combine the results from steps 22 and 33.\newline63×b11=63b1163 \times b^{11} = 63b^{11}

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