Compute the value of:
(34)3=(\frac{3}{4})^3=(43)3=
To compute (34)3(\frac{3}{4})^3(43)3, you must raise both the numerator and the denominator to the power of 3:
Numerator: 33=3×3×3=273^3 = 3 \times 3 \times 3 = 2733=3×3×3=27
Denominator: 43=4×4×4=644^3 = 4 \times 4 \times 4 = 6443=4×4×4=64
Therefore, (34)3=2764(\frac{3}{4})^3 = \frac{27}{64}(43)3=6427.
2764\frac{27}{64}6427