ownthis ownthis
  • 22-07-2019
  • Mathematics
contestada

Use radical notation to write the expression. Simplify if possible.

(-64) 2/3

Respuesta :

calculista
calculista calculista
  • 29-07-2019

Answer:

16

Step-by-step explanation:

we know that

[tex]a^{\frac{n}{m}}=\sqrt[m]{a^{n}}[/tex]

In this problem we have

[tex](-64)^{\frac{2}{3}}[/tex]

therefore

[tex]a=-64[/tex]

[tex]n=2[/tex]

[tex]m=3[/tex]

substitute

[tex](-64)^{\frac{2}{3}}=\sqrt[3]{(-64)^{2}}[/tex]

Remember that

[tex]64=4^{3}[/tex]

substitute

[tex]\sqrt[3]{(-4^{3})^{2}}=\sqrt[3]{(-4^{2})^{3}}=\sqrt[3]{(16)^{3}}=16[/tex]

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