Question

solve the question that mark with pen with full explanation

Answer 1

$\huge\mathfrak{Solution :}$

1. (1296)¾

=> (6 × 6 × 6 × 6)¾

=> (6⁴)¾

=> 6³

=> 126

$\textbf{Option (b) is correct.}$

________________________________

2. 64⅓ × (625)¾

=> (4 × 4 × 4)⅓ × (5 × 5 × 5 × 5)¾

=> (4³)⅓ × (5⁴)¾

=> 4¹ × 5³

=> 4 × 125

=> 500

$\textbf{Option (c) is correct.}$

________________________________

$3. \: \frac{ {(128)}^{ \frac{1}{7} } \times {(343)}^{ \frac{1}{3} } }{ { ({4}^{4}) }^{ \frac{3}{4} } } \\ \\ \\ = > \frac{ { ({2}^{7}) }^{ \frac{1}{7} } \times { ({7}^{3}) }^{ \frac{1}{3} } }{ {(4)}^{4 \times \frac{3}{4} } } \\ \\ \\ = > \frac{2 \times 7}{ {4}^{3} } \\ \\ = > \frac{14}{64} \\ \\ = > \frac{7}{32}$


$\textbf{Option (b) is correct.}$

$\huge\mathbb{Hope \ this \ helps.}$