Simplify please

Question

Simplify. Use positive exponents for any variables. (Show all work.)

2a^-4b^5/8a^2b^-3

Answer 1

(2 a^-4)(b^5)/(8 a^2)(b^-3)

2 (a^-4)(b^5)/(8 a^2)(b^-3)

Using positive exponent (b^-3) is move from the denominator to the numerator and become positive like wise  (a^-4) is move from the numerator to the denominator

 

2(b^5)(b^3)/(8 a^2)( a^4) Multiply the coefficients. Then multiplying the variables by keeping  the base and add the exponents. 

Which results in getting

2(b^7)/8( a^6)

Simplifying we get (b^7)/4( a^6)