Question

Kuis ⁽¹⁴⁰⁾
Tentukan hasil dari
(¹/₁₋ₐ)⁻⁸ · (¹⁻ᵃ/₁₊ₐ)⁻⁷ · (¹/₁₊ₐ)⁶

Answer 1

Verified answer

(1/1 - a)-⁸(1 - a/1 + a)-⁷(1/1 + a)⁶

= (1 - a/1)⁸(1 + a/1 - a)⁷(1/1 + a)⁶

= (1 - a)⁸ (1 + a)⁷/(1 - a)⁷(1/1 + a)⁶

= (1 - a)⁸ (1 - a(1 + a)⁷ - ⁶

= (1 - a)⁸ (1 - a(1 + a)¹

= (1 - a)⁸(1 + a)

= (1(1) - (a(a)

= 1 - a²

Answer 2

Jawaban:

eksponen

[tex]( \frac{1}{1 - a} ) {}^{ - 8} .( \frac{1 - a}{1 + a} ) {}^{ - 7} .( \frac{1}{1 + a} ) {}^{6} \\ [/tex][tex]( \frac{1 - a}{1} ) {}^{8} .( \frac{1 + a}{1 - a } ) {}^{7} .( \frac{1}{1 + a}) {}^{6} \\ [/tex]

[tex](1 - a) {}^{8} .( \frac{(1 + a) {}^{7} }{(1 - a) {}^{7} } ).( \frac{1}{(1 + a) {}^{6} } ) \\ [/tex]

[tex](1 - a) {}^{8 - 7} .(1 + a) {}^{7} . \frac{1}{(1 + a) {}^{6} } \\ [/tex]

[tex](1 - a)(1 + a) {}^{7 - 6} \\ (1 - a)(1 + a)[/tex]

[tex]1 + a - a - a {}^{2} [/tex]

[tex]1 - {a}^{2} \: atau \: - {a}^{2} + 1[/tex]