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Simplify. Express your answer using positive exponents.\newline(4w)(10w8)(4w)(10w^8)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(4w)(10w8)(4w)(10w^8)
  1. Multiply coefficients and bases: Step 11: Multiply the coefficients and combine the like bases.\newline(4w)(10w8)=(4×10)×(w×w8)(4w)(10w^8) = (4 \times 10) \times (w \times w^8)
  2. Calculate product of coefficients: Step 22: Calculate the product of the coefficients. 4×10=404 \times 10 = 40
  3. Apply exponent property: Step 33: Apply the property of exponents to multiply powers with the same base. w×w8=w(1+8)=w9w \times w^8 = w^{(1+8)} = w^9
  4. Combine results for simplified expression: Step 44: Combine the results from steps 22 and 33 to write the simplified expression. 40×w9=40w940 \times w^9 = 40w^9

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