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Fully simplify.

10x^(3)y^(3)(-13x^(2)y^(3))
Answer:

Fully simplify.\newline10x3y3(13x2y3) 10 x^{3} y^{3}\left(-13 x^{2} y^{3}\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newline10x3y3(13x2y3) 10 x^{3} y^{3}\left(-13 x^{2} y^{3}\right) \newlineAnswer:
  1. Multiply Coefficients: To simplify the expression 10x3y3(13x2y3)10x^{3}y^{3}(-13x^{2}y^{3}), we need to multiply the coefficients (numerical values) together and apply the exponent rules for multiplying like bases.\newlineCalculation: 10×(13)=13010 \times (-13) = -130\newlineExponent rule for xx: x3×x2=x3+2=x5x^{3} \times x^{2} = x^{3+2} = x^{5}\newlineExponent rule for yy: y3×y3=y3+3=y6y^{3} \times y^{3} = y^{3+3} = y^{6}
  2. Apply Exponent Rules: Now we combine the results from the previous step to write the simplified expression.\newlineCalculation: 130x5y6-130x^{5}y^{6}

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