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Simplify. Express your answer using positive exponents. \newline(4t)(10t)(7t)(4t)(10t)(7t)

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline(4t)(10t)(7t)(4t)(10t)(7t)
  1. Group coefficients and powers: Group the coefficients and powers that have the same base.\newline(4t)(10t)(7t)(4t)(10t)(7t) can be written as (4×10×7)×(t×t×t)(4 \times 10 \times 7) \times (t \times t \times t).
  2. Calculate product of coefficients: Calculate the product of the coefficients. 4×10×74 \times 10 \times 7 equals 40×740 \times 7, which is 280280.
  3. Combine powers of t: Combine the powers of t. Since t×t×tt \times t \times t is tt raised to the power of 11 three times, we add the exponents: t(1+1+1)t^{(1+1+1)} which is t3t^3.
  4. Write in simplest form: Write the expression in its simplest form.\newlineCombine the results from Step 22 and Step 33 to get 280t3280t^3.

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