35³×10⁴×14³/25²×7⁴×2⁷ solve this question
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( 35³ × 10⁴ × 14³ ) / ( 25² × 7⁴ × 2⁷ )
= ( 5 × 7 )³ × ( 5 × 2 )⁴ × ( 7 × 2 )³ / (5²)² × 7⁴ × 2⁷
= 5³ × 5⁴ × 7³ × 2⁴ × 7³ × 2³ / 5⁴ × 7⁴ × 2⁷
= 5⁷ × 7⁶ × 2⁷ / 5⁴ × 7⁴ × 2⁷
= 5⁷⁻⁴ × 7⁶⁻⁴ × 2⁷⁻⁷
= 5³ × 7² × 2⁰
= 5³ × 7² × 1
= 125 × 49
= 6125
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