simplify (5x^-7)^2

Question

Please simplify the following equation listed above

Answer 1

To simplify, we will use order of operations using PEMDAS

 

Parenthesis

Exponents

Multiply or Divide from left to right

Add or Subtract from left to right

 

(5x^-7)² =

 

(5x^-7)(5x^-7) =

 

25x^-14

 

We want the exponent to be positive.  Therefore, we put x^-14 in the denominator and remove the negative sign.

 

25/(x¹⁴) 

 

 

Answer 2

 

 

(5x^-7)^2 = 25 x^-14,

 

but x^-14 = 1/x^14, therefore

 

25/x^14 is the answer.

 

 

Answer 3

(5x^-7)^2=5^2*x^(-7*2)=25x^-14=25/x^14