016810
016810 016810
  • 19-08-2019
  • Mathematics
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Select the equivalent expression.

Select the equivalent expression class=

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carlosego
carlosego carlosego
  • 19-08-2019

For this case we must find an expression equivalent to:[tex](y ^ 3 * 2 ^ 5) ^ 2[/tex]

By definition of power properties we have to meet:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, rewriting the expression we have:

[tex]y^{3 * 2} * 2^ {5 * 2} =\\y^ 6 * 2^{10}[/tex]

Answer:

Option B

[tex]y^6*2^{10}[/tex]

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