Question

simplify ;- [{(-1/5)^-2}^2]^-1
write the expontial laws too

Answer 1

Step-by-step explanation:

${ { { \frac{ - 1}{5} }^{( - 2)} }^{(2)} }^{ (- 1)} \\ = \: { { {25} }^{(2)} }^{ (- 1)} \\ = \: {625}^{ (- 1)} \\ = \: \frac{1}{625}$

Exponential Law:- The laws of exponents are a set of five rules that show us how to perform some basic operations using exponents. Mathematically they are defined as follows: Let a and b be real numbers and m and n be positive integers. Then the following laws hold: Notice that we have taken our exponents to be positive integers.

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