babygirlove5369 babygirlove5369
  • 26-01-2018
  • Mathematics
contestada

Which of the following is equivalent to 16^ 3/4

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jongamer33
jongamer33 jongamer33
  • 26-01-2018
dont know your choices but if 8 is one of them then thats it
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frika
frika frika
  • 05-10-2018

1. Note that [tex]16=2^4.[/tex]

2. Use following property of powers:

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

Then

[tex]16^{\frac{3}{4}}=\left(2^4\right)^{\frac{3}{4}}=2^{4\cdot \frac{3}{4}}=2^3=8.[/tex]

Answer: 8.

Answer Link

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