find the value of (-2/3)^3+(-13/6)^3+(17/6)^3
Answers
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Answer:
The answer is 4.
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Concept
In mathematics we use power to calculate how much times the number is multiplied to itself. A power is the product of multiplying a number by itself.
For example
Example 1 : 5^3 = 5*5*5 = 125
Example 2 : 2^4 = 2*2*2*2 = 16
Given
Equation = (-2/3)^3+(-13/6)^3+(17/6)^3
Find
Value of this equation
Solution
(-2/3)^3 + (-13/6)^3 + (17/6)^3
= (-8/27) + (-13/6)^3 + (17/6)^3
= (-8/27) + (-2197/216) + (17/6)^3
= (-8/27) + (-2197/216) + (4913/216)
= (-8/27) + [(4913 – 2197)/216]
= (-8/27) + (2716/216)
Making Denominator Same
= (-8*4/27*4) + 1358/108
= (-32/108) + 1358/108
= 1326/108
= 221/18
= 12.2777778
The value of (-2/3)^3+(-13/6)^3+(17/6)^3 is 221/18 or 12.2777778.
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