[tex]\frac{7t^8u^5}{6v}[/tex]Answer:
A
Step-by-step explanation:
One step at a time!
Your first step will be to find the common denominator with your constants. 35 and 30 are both divisible by 5, so you can simply your fraction to: [tex]\frac{7t^5u^7v^-^4}{6t^-^3u^2v^-^3}[/tex] This eliminates answers B and D.
Now we can simplify the rest of the variables. The property of exponents in terms of division says that you subtract exponents from each other. So:
Variable t: 5-(-3) = 8
Variable u: 7-2 = 5
Variable v: -4-(-3)= -1
That leaves you with [tex]\frac{7t^8u^5v^-^1}{6}[/tex]
Since you have a negative exponent up top, you need to simplify it: [tex]v^-^1 = \frac{1}{v^{1} }[/tex]
So, your answer would be [tex]\frac{7t^8u^5}{6v}[/tex]
