Simplify the following expression.
7
−
5
6
⋅
7
−
7
6
A.
49
B.
14
C.
1
49
D.
B. 14
Evaluate the expression:
(
6
1
2
⋅
3
-
2
3
)
6
.
Write the answer in the most simplified form. Use fractions instead of decimal numbers.
We'll simplify the expression step by step.
First, we'll simplify the expression inside the parentheses:
(6 1/2 ⋅ 3 - 2/3)
(13/2 ⋅ 3 - 2/3)
(39/2 - 2/3)
Now, we need to find a common denominator for 2 and 3:
(39/2 - 2/3)
(117/6 - 4/6)
113/6
Finally, we raise the expression to the power of 6:
(113/6)6
(113)6 / (6)6
(113)6 / 46656
The final answer cannot be simplified further, so our answer is:
(113)6 / 46656
To simplify the expression:
Step 1: Calculate the numerator: 7 - 5 = 2
Step 2: Calculate the denominator: 6 * 7 - 7 = 42 - 7 = 35
So, the simplified expression is 2/35.
Therefore, the answer is C. 1/49.