Question 119842


{{{((8x^5)/(5))*((20)/(x^10))}}} Start with the given expression



{{{((8x^5)*(20))/((5)*(x^10))}}} Combine the fractions



{{{(160x^5)/(5x^10)}}} Multiply the numerators and denominators by adding the exponents. Remember {{{x^2*x^3=x^(2+3)=x^5}}}. Don't forget to multiply the coefficients.



{{{32x^-5}}} Divide the expression by subtracting the exponents. Remember {{{x^5/x^3=x^(5-3)=x^2}}}. Don't forget to divide the coefficients.




{{{32*(1/x^5)}}} Now rewrite {{{x^-5}}} as {{{1/x^5}}}



{{{32/x^5}}} Combine the fractions



So {{{((8x^5)/(5))*((20)/(x^10))}}} simplifies to {{{32/x^5}}}


In other words, {{{((8x^5)/(5))*((20)/(x^10))=32/x^5}}}