Which expression is NOT equal to a3×b5b9×a5−−−−√𝑎3×𝑏5𝑏9×𝑎5?A.1a×b21𝑎×𝑏2B.a−1b−2𝑎−1𝑏−2C.ab2−−−√𝑎𝑏2D.(ab2)−

The expression given is a3×b5b9×a5−−−−√𝑎3×𝑏5𝑏9×𝑎5.

First, let's simplify this expression.

The square root of a product is equal to the product of the square roots. Therefore, we can rewrite the expression as √(a3×b5) / √(b9×a5).

Next, we can simplify the square roots by taking the square root of each term separately.

This gives us √a3 × √b5 / √b9 × √a5.

The square root of a number raised to an exponent is equal to the number raised to half the exponent. Therefore, we can simplify this further to a3/2 × b5/2 / b9/2 × a5/2.

Now, we can simplify the expression by canceling out common terms.

This gives us a3/2-5/2 × b5/2-9/2 = a-1 × b-2.

Therefore, the expression simplifies to a-1b-2.

Comparing this with the answer choices, we can see that the expression is NOT equal to C. √ab2.