Question

(3-5)4(8-5)-12(32-5)6​

Answer 1

Answer:

31.64 (approx)

Step-by-step explanation:

${( \frac{3}{5} )}^{4} { ( \frac{8}{5} )}^{ - 12} {( \frac{32}{5} )}^{ 6}$

${(3)}^{4} \times {(5)}^{ - 4} \times {(8)}^{ - 12} \times {(5)}^{12} \times {(32)}^{ 6} \times {(5)}^{ - 6}$

arranging similar bases all together

${(3)}^{4} \times {(8)}^{ - 12} \times {(32)}^{6} \times {(5)}^{ - 4 + 12 - 6}$

${(3)}^{4} \times { ({(2)}^{3}) }^{ - 12} \times { (({2})^{5} )}^{6} \times {(5)}^{ 12 - 10}$

$81 \times {2}^{ - 36} \times {2}^{30} \times {5}^{2}$

$81 \times {2}^{ - 36 + 30} \times 25$

$81 \times {2}^{ - 6} \times 25$

$81 \times \frac{1}{ {2}^{6} } \times 25$

$81 \times \frac{1}{64} \times 25$

$2025 \times \frac{1}{64}$

$31.64 \: \: \: \: (approx)$