simplify (6/7)³×(7/6)²×(-6/8)³
Answers
Answered by
4
Step-by-step explanation:
Solution
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Rationalize the elements individually,
2
3
−
6
6
×
2
3
+
6
2
3
+
6
+
3
+
2
6
×
3
−
2
3
−
2
−
6
−
2
4
3
×
6
+
2
6
+
2
Using (a+b)(a−b)=a
2
−b
2
(2
3
)
2
−(
6
)
2
6(2
3
+
6
)
+
(
3
)
2
−(
2
)
2
6
(
3
−
2
)
−
(
6
)
2
−(
2
)
2
4
3
(
6
+
2
)
=
12−6
12
3
+6
6
+
3−2
3
2
−2
3
−
6−2
12
2
+4
6
=2
3
+
6
+3
2
−2
3
−3
2
−4
6
=−3
6
Answered by
1
Answer:
here,
(6/7)*(6/7)*(6/7) is 0.6297
(7/6)*(7/6) is 1.3611
(-6/8)*(-6/8)*(-6/8) is -0.421
so, 0.6297*1.366*(-0.421)= -0.360
ans: -0.360
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