If /frac{x}{y}=(/frac{-1}{3})^{-3}÷(/frac{2}{3})^{-4},find the value of: (/frac{x}{y})^{-3}
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Step-by-step explanation:
Explanation:
Step 1: You have to Multiply the
3
and the
2
together and then add the
1
and that would all be over
3
. Then you get
2
1
3
=
2
×
3
+
1
3
=
7
3
Step 2: You do the same thing which is
2
times
1
and then add
1
and that would be all over
2
. Then you get
1
1
2
=
1
×
2
+
1
2
=
3
2
Step 3: Combine together as
7
3
−
3
2
Next, you have to have a common denominator of
6
.
7
3
times
2
both top and bottom. Then
3
2
is going to be times
3
both top and bottom.
7
3
×
2
2
=
7
×
2
3
×
2
3
2
×
3
3
=
3
×
3
2
×
3
Next, multiply top and bottom fractions individually, which gets to be
14
6
−
9
6
=
14
−
9
6
=
5
6
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