# How do you simplify #\frac{(3ab)^2(4a^3b^4)^3}{(6a^2b)^4}#?

by distributing the powers,

by collecting like factors,

I hope that this was helpful.

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression, first expand each term raised to a power, then simplify:

[ \frac{(3ab)^2(4a^3b^4)^3}{(6a^2b)^4} = \frac{(9a^2b^2)(64a^9b^{12})}{1296a^8b^4} = \frac{576a^{11}b^{14}}{1296a^8b^4} = \frac{a^{11-8}b^{14-4}}{2^4} = \frac{a^3b^{10}}{16} ]

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you convert 6,000 into scientific notation?
- How do you simplify #((x^4y^-7)/(x^-2y^4))^2# and write it using only positive exponents?
- How do you simplify #(3/4)^-1# and write it using only positive exponents?
- How do you simplify #(x^2)^4*3x^5# and write it using only positive exponents?
- How do you add 20,000+3,400,000 and write the answer in scientific notation?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7