Question

$(4 { }^{ - 1} ) {}^{4} \times 2 {}^{5} ( \frac{1}{16} ) { }^{3} \times (8 {}^{ - 2} ) {}^{5} \times (64 {}^{2} ) {}^{3}$
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Answer 1

Răspuns:

a = 2⁻⁹ = 1/2⁹

Explicație pas cu pas:

a = (4⁻¹)⁴ x 2⁵(1/16)³ x (8⁻²)⁵ x (64²)³ = ?

(4⁻¹)⁴ = 4⁻¹ˣ⁴ = 4⁻⁴ = (2²)⁻⁴ = 2²ˣ⁻⁴ = 2⁻⁸

(1/16)³ = (1/2⁴)³ = (2⁻⁴)³ = 2⁻⁴ˣ³ = 2⁻¹²

2⁵x2⁻¹² = 2⁵⁻¹² = 2⁻⁷

(8⁻²)⁵ = 8⁻²ˣ⁵ = 8⁻¹⁰ = (2³)⁻¹⁰ = 2³ˣ⁽⁻¹⁰⁾ = 2⁻³⁰

(64²)³ = 64²ˣ³ = 64⁶ = (2⁶)⁶ = 2⁶ˣ⁶ = 2³⁶

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a = 2⁻⁸ x 2⁻⁷ x 2⁻³⁰ x 2³⁶ = 2⁻⁸⁻⁷⁻³⁰⁺³⁶ = 2⁻⁹ = 1/2⁹