Respuesta :
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.
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.