Question

Simplify (c^4d^5)^3 x (c^2d^7)^6

Answer 1

Answer: (c^4d^5)^3(c^2d^7)^d=c^24d^57

Explanation:

(c^4d^5)^3x(c^2d^7)^6

(c^4d^5)^3 : c^12d^15

=c^12d^15x(c^2d^7)^6

(c^2d^7)^6 : c^12d^42

=c^12d^15xc^12d^42

Exponent rule-

a^b*a^c=a^b+c

=d^15xc^12+12d^42

Add the ^12+12

=d^15xc^24d^42

Exponent rule a^b*a^c=a^b+c

=xc^24d^15+42

Add the ^15+42

=xc^24d^57