The result of (1/2) negative power 3 at times 8 to power 3 per (16) to power 2 is
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Step-by-step explanation:
Method 1
(½) ⁻³ × 8³ / 16²
= 1⁻³ / 2⁻³ × 8³ / (4²) ²
= 1 ÷ 1 / 2³ × 512/256
= 1 × 2³ / 1 × 2
= 2³ × 2
= 8 × 2
= 16
Method 2
(½)⁻³ × 8³/16²
= (1⁻³/2⁻³) × (2³)³/(2⁴)²
= (2³/1³) × 2⁹ / 2⁸
= 2³ × 2⁹ / 2⁸
= 2³⁺⁹⁻⁸
= 2⁴
= 16
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