(5x)³ × (25x²)² × (5x) To The Power -12

Question:

(5x)³ × (25x²)² × (5x) To The Power -12

Solution:

=[ (5x)³ × (25x²)² × (5x) ] ⁻¹²
=[ (5x)³ × (25)²(x²)² × (5x) ] ⁻¹²
=[ 5³x³ × (5²)²(x²)² × (5x) ] ⁻¹²
=[ 5³x³ × 5⁴x⁴ × 5x ] ⁻¹²
=[ 5³⁺⁴⁺¹x³⁺⁴⁺¹ ] ⁻¹²
=[ 5⁸x⁸ ] ⁻¹²
=[ (5x)⁸ ]⁻¹² = (5x)⁸⁽⁻¹²⁾ = (5x)⁻⁹⁶

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