Question

Find the value of:
a) (-4/5)^(-10)×(-4/5)^(15)÷(-4/5)^(9)
b) (3/2)^(33)÷(2/3)^(-35)​

Answer 1

Answer:

A. 2.44140625

B.0.44444444444

This is the answer

Step-by-step explanation:

pl mark as a brainliest

Answer 2

Step-by-step explanation:

$( - \frac{4}{5} ) {}^{ - 10} \times ( - \frac{4}{5} ) {}^{15} \div ( - \frac{4}{5} ) {}^{9} \\ \\ \\ = ( - \frac{4}{5} ) {}^{ - 10 + 15} \div ( - \frac{4}{5} ) {}^{9} \\ \\ \\ = ( - \frac{4}{5} ) {}^{5} \div ( { - \frac{4}{5} })^{9} \\ \\ \\ = ( - \frac{4}{5} ) {}^{5 - 9} \\ \\ \\ = ( - \frac{4}{5} ) {}^{ - 4} \\ \\ \\ = ( - \frac{5}{4} ) {}^{4} \\ \\ \\ \\ formula \: \: \: - \: \: \: x {}^{m } .x {}^{n} = x {}^{ m+ n} \\ \\ \\ x {}^{m} \div x {}^{n} = x {}^{ m- n} \\ \\ \\ x {}^{ - 1} = \frac{1}{x} \\ \\ \\ {x}^{ - 2} = \frac{1}{x {}^{2} }$