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2(x)2×5(x)32(x)^2 \times 5(x)^3

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Full solution

Q. 2(x)2×5(x)32(x)^2 \times 5(x)^3
  1. Write Expression: Write down the expression to be simplified. 2(x)2×5(x)32(x)^2 \times 5(x)^3
  2. Apply Associative Property: Apply the associative property of multiplication to group the constants and the variables separately.\newline(2×5)×(x2×x3)(2 \times 5) \times (x^2 \times x^3)
  3. Multiply Constants: Multiply the constants together.\newline2×5=102 \times 5 = 10
  4. Apply Laws of Exponents: Apply the laws of exponents to multiply the variables with the same base. x2×x3=x(2+3)=x5x^2 \times x^3 = x^{(2+3)} = x^5
  5. Combine Results: Combine the results from Step 33 and Step 44 to get the final product. 10×x510 \times x^5

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