ceballosjulietta
ceballosjulietta ceballosjulietta
  • 21-06-2019
  • Mathematics
contestada

Which expression is equivalent to (4x^3*y^5)(3x^5*y)^2 \
A) 24x^13*y^7
B) 36x^13*y^7
C) 36x^28*y^7
D) 144x^16*y^12

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 21-06-2019

Answer:

  B)  36x^13*y^7

Step-by-step explanation:

The two rules of exponents that apply are ...

  • (a^b)^c = a^(b·c)
  • (a^b)(a^c) = a^(b+c)

Expanding the second factor gives ...

  (4x^3*y^5)(3^2*x^(5*2)*y^2)

  = 36*x^(3+10)*y^(5+2)

  = 36x^13*y^7 . . . . . . matches selection B

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