124k views
3 votes
Simplify the expression below:

√243x^9 y^16

A. 3x^4y^8√27x
B. 3x^3y^4√27
C. 9x^3y^4√3
D. 9x^4y^8√3x
E. 9x^3y^8√3

User Lynn Kim
by
7.4k points

1 Answer

1 vote

Answer: D. 9x^4y^8√3x

Explanation:

We can simplify the expression as follows:

√243x^9 y^16 = √(81*3) * x^4 * x^5 * y^8 * y^8

Using the rule of exponents (a^m * a^n = a^(m+n)):

√(81*3) * x^4 * x^5 * y^8 * y^8 = 9xy^8 * x^4√3

Therefore, the simplified expression is:

D. 9x^4y^8√3x

User Alin Pandichi
by
8.1k points