Divide. The quantity 8 times m to the seventh power minus 10 times m to the fifth power, all divided by 2 times m cubed
A. 4 times m to the seventh power minus 5 times m to the fifth power
B. 4 times m to the fourth power minus 10 times m to the fifth power
C. 8 times m to the seventh power minus 10 times m squared
D. 4 times m to the fourth power minus 5 times m squared
The correct answer is A.
To divide, we need to divide each term in the numerator by the denominator:
$\frac{8m^7 - 10m^5}{2m^3} = \frac{8m^7}{2m^3} - \frac{10m^5}{2m^3} = 4m^{7-3} - 5m^{5-3} = 4m^4 - 5m^2$
Therefore, the answer is A.
To divide the given expression, we can divide each term individually.
The given expression is:
(8m^7 - 10m^5) / (2m^3)
First, let's divide the constant terms:
8 / 2 = 4
Next, let's divide the variable terms using the exponent rule:
m^7 / m^3 = m^(7-3) = m^4
m^5 / m^3 = m^(5-3) = m^2
Putting it all together, the expression becomes:
4m^4 - 5m^2
Therefore, the correct answer is option D: 4 times m to the fourth power minus 5 times m squared.