Question

1 1/2 x ^ 3 * 8/15 * the power of 2

Answer 1

The answer is 60 3/4. Hope this helps

Answer 2

Your drawing was much more helpful and informative than your statements in words and symbols.

I see that you want to evaluate (3/2)^2 times (8/15)^2.

You could combine these two expressions into one, as follows:

3*8

( ----------- )^2

2*15

This, in turn, can be simplified by reduction:

( 4/5 )^2. Expanded, this result gives us 16/25.

Next problem

----------------------------

( 9/4 )^4 * ( 4/3 )^3

9^4 4^3

First, focus on ( ------- ) * ( ----------- )

4^4 3^3

Now reduce 4^3 / 4^4: The end result is 1/4.

Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:

3^8 / 3^3. The end result is 3^5.

Putting this expression back together, we get 3^5 / 4 (answer)