Question

simlify (-2)power 5×(3power 5 )power -2÷12×3 power -7

Answer 1

the. answer is -8/81

Answer 2

The answer is $-\frac{8}{9}$

Step-by-step explanation:

Given that,$=\frac{(-2)^{-5}\times ((3)^{5})^{-2}}{12\times (3)^{-7}}$

Now,

Apply $m^{a} \times m^{b} = m^{a+b}$

$\frac{1}{m} =m^{-1}$

$=\frac{(-2)^{-5}\times ((3)^{5})^{-2}}{12\times (3)^{-7}}\\\\=\frac{(-1)(2)^{5}(3)^{-5\times 2}}{2\times 2\times3\times(3)^{-7}}\\\\=-2^{5-2} \times (3)^{-10+8}\\\\=-(2)^{3}(3)^{-2}\\\\=-\frac{8}{9}$

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