Find the roots and simplify the expression. 216^1/3 - 125^1/3
1 answer:
Answer:
1
Step-by-step explanation:
The first thing to simplify is the Exponent
If The Exponent is a fraction than the denominator of the fraction will be the power of the root and the numerator will be the power of the expression
It will be in the form
Where a is the denominator and b is the numerator of the fraction
The first expression 216^1/3 will be
6×6×6=216 so the expression = 6
The second expression 125^1/3 will be
5×5×5=125 so the expression =5
216^1/3 - 125^1/3
6 - 5
1
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Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
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