Question

8p^3 x 5p^4/20p^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 8p^3 x 5p^4 / 20p^2, we can use the rules of exponents to simplify the variable terms and then divide the numerical coefficients.

First, we combine the variable terms by multiplying the coefficients (8 x 5) and adding the exponents of the variable (p^3 x p^4 → p^(3+4) → p^7):

(8p^3 x 5p^4) / 20p^2 = (40p^7) / 20p^2

Next, we divide the numerical coefficients (40 / 20 = 2):

(40p^7) / 20p^2 = 2p^7 / p^2

Finally, we simplify the variable terms by dividing the exponents (p^7 / p^2 → p^(7-2) → p^5):

2p^7 / p^2 = 2p^5

So, the simplified expression is 2p^5.