Question

(9-⁴/b-³)-²:(9⁵/b-²)


(-3)-⁴:(-3)-5​

Answer 1

1.

$( \frac{ {9}^{ - 4} }{ {b}^{ - 3} } )^{ - 2} \div ( \frac{ {9}^{5} }{ {b}^{ - 2} } )$

$( \frac{ {b}^{ - 3} }{ {9}^{ - 4} } )^{ - 2} \times \frac{ {b}^{ - 2} }{ {9}^{5} }$

$\frac{ {b}^{ - 6} }{ {9}^{ - 8} } \times \frac{ {b}^{ - 2} }{ {9}^{5} }$

$\frac{ {b}^{ - 8} }{ {9}^{ - 3} } = \frac{ {9}^{3} }{ {b}^{8} } = \frac{729}{ {b}^{8} }$

2.

$( - 3)^{ - 4} \div ( - 3) - 5$

${3}^{ - 4} \div ( - 3) - 5$

$- {3}^{ - 5} - 5$

$- \frac{1}{ {3}^{5} } - 5$

$- \frac{1}{243} - 5$

$- \frac{1216}{243}$