lidia13 lidia13
  • 13-06-2019
  • Mathematics
contestada

Which expression is equivalent to 5^ square root 32x5^ y10^ z15^

Which expression is equivalent to 5 square root 32x5 y10 z15 class=

Respuesta :

absor201
absor201 absor201
  • 13-06-2019

Answer:

Option B is correct.

Step-by-step explanation:

[tex]\sqrt[5]{32x^5y^10z^15}[/tex]

We need to solve the above expression.

32 = 2x2x2x2x2 = 2^5

and we know 5√ = 1/5

solving

[tex]=\sqrt[5]{2^5x^5y^{10}z^{15}}\\=(2^5)^{1/5}(5x^5)^{1/5}(y^{10})^{1/5}(z^{15})^{1/5}\\=2xy^2z^3[/tex]

So, simplified form is 2xy^2z^3

So, Option B is correct.

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