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= 4 × 10 to the power of 2
Step-by-step explanation:
Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6
The answer is going to be 68/9 and the fraction is negative.
hope this help!
Rolling a sum of seven with a pair of dice...any of the six numbers can be first so that probability is:
(6/6) or 1 :P
Now to roll a sum of seven only one unique number can follow the first so the probability of getting that unique number so that you have a sum of seven is:
(1/6)
This is a compound event because two thing must happen and you multiply their respective probabilities to get the probability of the compound even..
(6/6)(1/6)=6/36=1/6
