Question

(3/4)⁴ × (8/5)-¹² × (32/5)raised to the power 6​

Answer 1

Question : $\frac {3}{4} \times \frac {8}{5}-¹² \times \frac {32}{5}⁶$

Solution :

= $\frac {81}{256} \times ( \frac {5}{8})² \times (\frac {32}{5})⁶$

= $\frac {81}{256} \times ( \frac {5}{8})² \times</p><p>\frac {32⁶}{5⁶}$

= $\frac {81}{2⁸} \times \frac {5²}{8²} \times \frac {32⁶}{5⁶}$

= $81 \times \frac {5²}{2⁶} \times \frac {2²²}{5⁶}$

= $81 \times \frac {1}{2⁶} \times \frac {2²²}{5⁴}$

= $81 \times \frac {2¹⁶}{5⁴}$

= $\frac {81 \times 2¹⁶}{5⁴}$

= $\frac {81 \times 65536}{625}$

= $\frac {5308416}{625}$

→ $\boxed{\frac {5308416}{625}}$