aliceekowal aliceekowal
  • 17-06-2021
  • Mathematics
contestada

Evaluate 64 to the power of 2/3

Respuesta :

Hi1315
Hi1315 Hi1315
  • 17-06-2021

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {64}^{ \frac{2}{3} } \\ {2}^{6 \times \frac{2}{3} } \\ {2}^{ \frac{12}{3} } \\ {2}^{4} \\ = 16[/tex]

hope this helps you

have a nice day!

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jimrgrant1 jimrgrant1
  • 17-06-2021

Answer:

16

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]64^{\frac{2}{3} }[/tex] = [tex](\sqrt[3]{64}) ^{2}[/tex] = 4² = 16

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