Answer:
3 m4 • sqrt(2m)
Step-by-step explanation:
STEP 1: Factor 18 into its prime factors
18 = 2 • 32
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
9 = 32
Factors which will remain inside the root are :
2 = 2
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
3 = 3
At the end of this step the partly simplified SQRT looks like this:
3 • sqrt (2m9)
STEP 2: Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(m9) = m4 • SQRT(m)
Answer:
Quadrant II
Step-by-step explanation:
Quadrant II
Answer:
14 and 2/3rd cups of flour for 4 batches
Step-by-step explanation:
For A: it would be 1/72 or .138.........
For B: it would be 1/70
Answer:
C. Independent
Step-by-step explanation:
Independent events are events that have no impact on each other.
So, if the occurrence of an event doesn't influence the outcome of another, this means that they are independent because they do not impact each other.
This must mean C is correct because the two events have to be independent.