Question

Work out the value of (3^square root of 9)^3 x (square root of 30)^2?

Answer 1

The value of the given expression is 810.

Explanation:

To work out the value of the expression (3^√9)^3 × (√30)^2, we can simplify each part of the expression separately and then multiply the results.

First, let's simplify (3^√9)^3:

√9 = 3

So, (3^√9)^3 becomes (3^3):

(3^3) = 3 × 3 × 3 = 27

Next, let's simplify (√30)^2:

(√30)^2 = 30

Now, we can multiply the two simplified expressions:

27 × 30 = 810

Therefore,

The value of the given expression is 810.