Question

simplify : [5/2]³. [9/2]4​

Answer 1

Step-by-step explanation:

81/16]^-3/4 × {[9/25]^3/2 ÷ [5/2]^-3} Simplify

→ [81/16]^-3/4 × { 9^3/2 / 25^3/2 ÷ [2³/5³]}

→ 81^-3/4 / 16^-3/4 × (3²)^3/2 /(5²)^3/2 ÷ 2³/5³

→(3⁴)^-3/4 /(2⁴)^-3/4 × [3³/5³ × 5³/2³]

→3^-3/2^-3 × [3³ × 1/2³]

→3^-3/2^-3 × [27/8]

→ 3^-3/2^-3 × 3³/2³

1 upon 1 equal to 1..

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Answer 2

Step-by-step explanation:

$( \frac{5}{3} ) {}^{2} \times ( \frac{9}{2} ) {}^{4} \\ \frac{5 \times 5 \times 5 \times 81 \times 81}{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 } \\ \frac{820125}{128}$