Question

(-4/3)⁷ ×(-4/3)⁸÷(-3/4)-⁵​

Answer 1

Answer:

(-4/3)¹⁰

Step-by-step explanation:

$( \frac{ - 4}{3} ) {}^{7} \times ( \frac{ - 4}{3} ) {}^{8} \div ( \frac{ - 3}{4}) {}^{ - 5} \\ = ( \frac{ - 4}{3} ) {}^{8 + 7} \div ( \frac{ - 3}{4} ) {}^{ - 5} \\ = ( \frac{ - 4}{3} ) {}^{15} \times ( \frac{ - 4}{3} ) {}^{ - 5} \\ = ( \frac{ - 4}{3} ) {}^{15 + - 5}$

$= ( \frac{ - 4}{3} ) {}^{10} \\ using \: \: \: a {}^{m} \times a {}^{n} = a {}^{m + n}$

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