<u>Given</u><u> info</u><u>:</u><u>-</u><u> </u>What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?
<u>Explanation</u><u>:</u><u>-</u>
Given number = [(-5/3)³]^-3
Let the required number be X
On multiplying [(-5/3)³]^-3 with X
⇛ [(-5/3)³]^-3 × X
According to the given problem
The result = (-3/5)⁴
⇛ [(-5/3)³]^-3 × X = (-3/5)⁴
⇛ (-5/3)^(3×-3) × X = (-3/5)⁴
Since (a^m)^n = a^mn
⇛ (-5/3)^-9 ×X = (-3/5)⁴
⇛(-3/5)⁹ ×X = (-3/5)⁴
Since a^-n = 1/a^n
⇛X = (-3/5)⁴/(-3/5)⁹
⇛X = (-3/5)^(4-9)
Since a^m / a^n = a^(m-n)
⇛ X = (-3/5)^-5
⇛ X = (-5/3)⁵
Since a^-n = 1/a^n
Therefore, X = (-5/3)⁵
<u>The required number for the given problem is (-5/3)</u><u>⁵</u><u>.</u>
Answer:
$7075 or 7718
Step-by-step explanation:
91100-6200=84900
84900/11= 7718.18181818 or rounded= 7718
(This is if the december month doesnt count.)
84900/12=7075
(If december is included.)
Answer:
<h2>37/9</h2>
Step-by-step explanation:
<h3>we have</h3>
<h3>3.77777... :- is a repeating decimal</h3>
<h3>Let</h3>
<h3>x = 3.7...</h3>
<h3>so</h3>
<h3>10x =37.7...</h3>
<h3>10x - x = 37.7... -3.7...</h3>
<h3>9x=34</h3>
<h3>x= 34/9</h3>
<h3>convert to mixed number</h3>
<h3>34/9=(27/9)+(7/9)=3+(7/9) =37/9</h3>
<h3> I hope this may help you.</h3>
Converting 200 miles to the amount of carbon dioxide emission that would be 1.884 tons annually. This will be the amount of carbon dioxide given that 200 miles is monthly covered.
