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Simplify: (2x^(4))(-3x^(2)) Answer:

Simplify:\newline(2x4)(−3x2) \left(2 x^{4}\right)\left(-3 x^{2}\right) \newlineAnswer:

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Full solution

Q. Simplify:\newline(2x4)(−3x2) \left(2 x^{4}\right)\left(-3 x^{2}\right) \newlineAnswer:
  1. Multiply Coefficients and Add Exponents: We are given the expression (2x4)(−3x2)(2x^{4})(-3x^{2}). To simplify this expression, we need to multiply the coefficients (the numbers in front of the variables) and add the exponents of the variables with the same base according to the laws of exponents.\newlineCalculation: 2×(−3)=−62 \times (-3) = -6\newlineExponents: x4×x2=x(4+2)=x6x^{4} \times x^{2} = x^{(4+2)} = x^{6}
  2. Combine Results: Now, we combine the results from the multiplication of the coefficients and the addition of the exponents.\newlineCalculation: −6x6-6x^{6}

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