Question

Simplify
$12 ^{4} \times 125 \times 3^{8} \div 6^{3} \times 10^{3} \times 3^{5}$
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Answer 1

Answer:

${12}^{4} \times 125 \times {3}^{8} \div ({6}^{3} \times {10}^{3} \times {3}^{5} )\\ = > ( {(2 \times 3 \times 2)}^{4} \times {5}^{3} \times {3}^{8} ) \div ( {(2 \times 3)}^{3} \times {(5 \times 2)}^{3} \times {3}^{5} ) \\ = > {2}^{4} \times {3}^{4} \times {2}^{4} \times {5}^{3} \times {3}^{8} \div ( {2}^{3} \times {3}^{3} \times {5}^{3} \times {2}^{3} \times {3}^{5} ) \\ = > {2}^{(4 + 4 - 3 - 3)} \times {3}^{(4 + 8 - 3 - 5)} \times {5}^{(3 - 3)} \\ = > {2}^{2} \times {3}^{4} \\ = > 4 \times 81 \\ = > 324$

Thank you!!

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Answer 2

Question: Simplify.

12⁴ × 125 × 3^8 ÷ (6³ × 10³ × 3^5)

=> [2 × 3 × 2]⁴ × 5³ × 3^8 ÷ [(2×3)³ × (5×2)³ × 3^5]

=> 2⁴×3⁴×2⁴ × 5³ × 3^8 ÷ [2³ × 3³ × 5³ × 2³ × 3^5]

=> 2^(4+4-3-3) × 3^(4+8-3-5) × 5^(3-3)

=> 2² × 3⁴ × 1

=> 4 × 81

=> 324

Thus, Answer is 324.