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Anvisha [2.4K]
3 years ago
13

Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

\large\boxed{(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9}\to\boxed{B.}

Step-by-step explanation:

(9x^2y^3)(12x^{-3}y^5)(2xy)=(9\cdot12\cdot2)(x^2x^{-3}x)(y^3y^5y)\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\=216x^{2+(-3)+1}y^{3+5+1}=216x^0y^9\\\\\text{Use}\ a^0=1\ \text{for any value of}\ a\ \text{except 0}\\\\=216y^9

Luden [163]3 years ago
3 0

Answer:

=216y^9

Step-by-step explanation:

the expression is:

(9x^2y^3)(12x^{-3}y^5)(2xy)

the first step is to multiply all the coefficients:

9*12*2=216

and as for the variables, to multiply them we must add the exponents, that is, the result for x will be:

x^{2-3+1}=x^0=1

so there will be no x in our result.

adding the exponents for the y variable:

y^{3+5+1}=y^9

The result is the multiplied coefficients and the variables after we add the exponents they in the original expression:

(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9

which is option B

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