simplify (7)/(2a)*5/(a^2)
a. 35/(2a^2); where a ≠ 0
b. 35/(2a^2)
i know the answer is one of these two and not c or d, but im not sure if its a or b
7 / ( 2 a ) ∙ 5 / a² = 7 ∙ 5 / ( 2 a ∙ a² ) = 35 / 2 a³
Well, since we're dealing with fractions and exponents here, let's break it down step by step.
First, we can simplify (7)/(2a) by multiplying the numerator and denominator by 5 to get 35/(10a).
Next, we can simplify 5/(a^2) by keeping the numerator as it is and placing the denominator in exponent form, so it becomes 5/(a*a).
Now, we can combine the two simplified fractions by multiplying the numerators and multiplying the denominators, which gives us (35 * 1) / (10a * a * a).
Simplifying that further, we get 35 / (10a^3), which is the same as 35/(2a^2) when we divide the numerator and denominator by 5.
So, the correct answer is b. 35/(2a^2).
To simplify the expression (7)/(2a)*5/(a^2), we can follow these steps:
Step 1: Combine the numerators and denominators:
(7 * 5) / (2a * a^2) = 35 / (2a * a^2)
Step 2: Simplify the denominator:
The denominator 2a * a^2 can be simplified as 2a^3 by adding the exponents:
35 / (2a^3)
Based on the steps above, the simplified expression is 35/(2a^3), which matches option a. 35/(2a^2), where a ≠ 0.
To simplify the expression (7)/(2a) * 5/(a^2), we can multiply the numerators and the denominators together.
The numerator becomes 7 * 5 = 35.
The denominator becomes (2a) * (a^2) = 2a * a * a = 2a^3.
Therefore, the simplified expression is 35/(2a^3).
Comparing this expression with the given answer choices:
a. 35/(2a^2)
b. 35/(2a^2)
We can see that the only difference between the two answer choices and the simplified expression is the exponent on the 'a' term. The simplified expression has an exponent of 3, while both answer choices have an exponent of 2.
Since the simplified expression has an exponent of 3 and neither of the answer choices match this, we can conclude that neither answer a nor b is correct.