Question

the correct answer is: \\(\frac{-1}{128}\\)
explanation
simplify. assume all variables are positive.
\\(left( \frac{-32tu}{tu}
ight)^{-\frac{7}{5}}\\)
write your answer in the form \\(a\\) or \\(\frac{a}{b}\\), where \\(a\\) and \\(b\\) are constants or variable expressions that have no variables in common. all exponents in your answer should be positive.
you answered:

Explanation:

Step1: Simplify inside the parentheses

$\frac{-32tu}{tu} = -32$

Step2: Apply negative exponent rule

$(-32)^{-\frac{7}{5}} = \frac{1}{(-32)^{\frac{7}{5}}}$

Step3: Compute $(-32)^{\frac{1}{5}}$

$(-32)^{\frac{1}{5}} = -2$

Step4: Raise to 7th power

$(-2)^7 = -128$

Step5: Substitute back

$\frac{1}{-128} = -\frac{1}{128}$

Answer:

$-\frac{1}{128}$