Question

simplify [(-5)^3^-5]​

Answer 1

Answer:

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Answer 2

Given data,

$( (-5)^3)^{-5}$

Now we have to simplify this expression.

As we know the formula,

$(a^{m} )^{n} =a^{m\times n}$

Here,

$a=-5$

$m=3$

$n=-5$

Substitute these values in the formula

We get,

$(-5)^{3\times-5}$

$(-5)^{-15}$

As we know the formula,

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

$(-5)^{-15}=\frac{1}{(-5)^{15} }$

Therefore, the final answer after simplification is $\frac{1}{(-5)^{15} }$