3.option a (-8,2)
4.option b (5,4)
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3
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Explanation:
There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.
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A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative
sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative
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If we allow m to be negative, then the final result would be either |m^3| or |m|^3.
The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.
Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2
Answer:
2(4x+1/4)
Step-by-step explanation:
You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.
You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.
Answer:
1) The simplified radical form is 
2) The simplified radical form is 
3) The simplified radical form is 
4) The simplified radical form is 
Step-by-step explanation:
1) Given expression is 
To find the simplified radical form of the given expression :
Therefore the simplified radical form is
2)Given expression is 
To find the simplified radical form of the given expression :
Therefore the simplified radical form is
3) Given expression is 
To find the simplified radical form of the given expression :
Therefore the simplified radical form is
4) Given expression is 
To find the simplified radical form of the given expression :
Therefore the simplified radical form is
Answer:
I believe there would be 15.
Step-by-step explanation:
well 12×3=36
5×3=15 so 15:36
