Answer:

Step-by-step explanation:
The limit is:

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

by replacing, and applying repeatedly you obtain:

hence, the limit of the function is -1/14
The relation between the numbers is 2:5 so it would be 2x and 5y and you plug in the numbers. When x=42 which is 2(21) then y would be 5(21) which equals 105 :-)
<span><span>a8a6)1/7/a2</span> </span>Final result :<span> a12
———
7
</span>Step by step solution :<span>Step 1 :</span> 1
Simplify —
7
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<span>Equation at the end of step 1 :</span><span> 1
((a8) • (a6)) • — ÷ a2
7
</span><span>Step 2 :</span><span> 1
Divide — by a2
7
</span><span>Equation at the end of step 2 :</span><span><span> 1
((a8) • (a6)) • ———
7a2
</span><span> Step 3 :</span></span>Dividing exponential expressions :
<span> 3.1 </span> <span> a14</span> divided by <span>a2 = a(14 - 2) = a12</span>
Final result :<span> a12
———
7
</span><span>
</span>
Positive exponent? An index would imply that the base, x, had a fractional exponent.
My Dear Aunt Sally used to say, "If there's a negative exponent in your face, then flip your base!"
In other words, if the exponent is negative, take the reciprocal of the base, x →

and change the exponent to positive.
Therefore:

I have cross the fraction bar line change the exponent sign.