Could someone check this problem for me?
7a^6/10v^4 multiplied by 100v^7/49a
answer
10a^5v^3/7
that's what I got, looks good
To check if the answer is correct, we can simplify the expression and compare it to the given answer.
First, let's simplify the expression:
(7a^6 / 10v^4) * (100v^7 / 49a)
To multiply fractions, we multiply the numerators together and the denominators together:
(7 * a^6 * 100 * v^7) / (10 * v^4 * 49 * a)
Simplifying further:
(7 * 100 * a^6 * v^7) / (10 * 49 * a * v^4)
Now, let's simplify the numbers:
7 * 100 = 700
10 * 49 = 490
So the expression becomes:
(700 * a^6 * v^7) / (490 * a * v^4)
Now, let's simplify the variables:
a^6 / a = a^(6-1) = a^5
v^7 / v^4 = v^(7-4) = v^3
Substituting the simplified variables back into the expression:
(700 * a^5 * v^3) / (490)
Further simplifying:
700 / 490 = 10 / 7
Therefore, the final simplified expression is:
(10 * a^5 * v^3) / 7
Comparing this with the given answer:
10a^5v^3 / 7
The two expressions are indeed the same, so the given answer is correct.
Note: It's always a good practice to show your work when checking solutions or working on math problems.