Question

Simplify and Express with positive exponents of (-7/11^)-6÷(-7/11)^-2​

Answer 1

formula

we know that

$\frac{a {}^{m} }{a {}^{n} } = a {}^{m - n}$

solution:

$\frac{ (\frac{ - 7}{11}) {}^{ {}^{ - 6} } }{ (\frac{ - 7}{11}) { }^{ - 2} }$

let -7/11 be a

therefore

$\frac{a {}^{ - 6} }{a {}^{ - 2} } = a {}^{ - 6 + 2}$

$= a {}^{ - 4}$

$= ( \frac{ - 7}{11} ) {}^{ - 4}$

$= (\frac{ - 11}{7} ) {}^{4}$

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Answer 2

we know that

$\frac{a {}^{m} }{a {}^{n} } = a {}^{m - n}$

solution :

(-7/11^)-6÷(-7/11)^-2

$= (\frac{ - 7}{11} ) {}^{ - 6 + 2}$

$= (\frac{ - 7}{11} ) {}^{ - 4}$

$=( \frac{ - 11}{7} ) {}^{4}$

$= \frac{14641}{2401}$

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