Question

Simplify. ((a^(6)b^(3))/(a^(4)b^(6)))^(4) Write your answer using only positive sign.

Answer 1

To simplify the given expression ((a^6b^3)/(a^4b^6))^4, first apply the exponent to both the numerator and denominator: (a^24b^12)/(a^16b^24). Then, divide the coefficients and subtract the exponents to get a^8/b^12. The simplified expression is a^8/b^12.

Step-by-step explanation:

To simplify the given expression:

((a6b3)/(a4b6))4

First, apply the exponent to both the numerator and denominator:

((a6)4(b3)4)/((a4)4(b6)4))

Simplify the exponents:

(a24b12)/(a16b24)

Then, divide the coefficients and subtract the exponents:

a24-16b12-24

a8b-12

Finally, write the answer using positive exponents:

a8/b12