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Which expression is equivalent to the following?


Which Expression Is Equivalent To The Following class=

Sagot :

[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]

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