Simplify the expression. Write the answer without negative exponents.
(4a^3b^3)(4ab^2)^2
64a^5b^7
To simplify the expression (4a^3b^3)(4ab^2)^2, we need to apply the rules of exponents.
First, let's expand the expression (4ab^2)^2. When raising a power to another power, we multiply the exponents, so (4ab^2)^2 becomes (4^1a^1b^2)^2 which simplifies to 4^2a^2b^4.
Now, we can multiply the two terms: (4a^3b^3)(4^2a^2b^4).
When multiplying two terms with the same base, we add the exponents, so 4^1 * 4^2 becomes 4^(1+2) which simplifies to 4^3.
Also, we multiply the exponents of 'a': a^3 * a^2 = a^(3+2) = a^5.
Finally, we multiply the exponents of 'b': b^3 * b^4 = b^(3+4) = b^7.
Putting it all together, the simplified expression is 4^3a^5b^7.
Note: In order to write the answer without negative exponents, we don't have any negative exponents in this expression.