3b^8*49p^5/7p^3*9b the answer is 7b^7p^2/3 but how is the problem worked out to get the answer
work out the problem to understand how to get to the answer
You can also look at this equation as the multiplication of two fractions:
1. 3b8 * 49p5 / 7p3 * 9b is the same as (3b8/9b) * (49p5/7p3)
2. Now lets simplify the fractions before multiplying them together:
3. Lastly complete the multiplication --> b7/3 * 7p2 which is 7b7p2/3
First, let's use the order of operations (PEMDAS) to make the expression easier to look at:
(3b8) * (49p5) / (7p3) * (9b)
Now we have only multiplication and division; take care of multiplication first:
(147b8p5) / (63bp3) In this step, we can't yet combine like terms.
And now dividing these terms leaves us with:
7/3b7p2 Here we must remember that dividing terms with the same base means subtracting their exponents (e.g., b8 / b = b8-1 = b7).
Hope this helps.