Evaluate a/b+c^d for a=6,b=3,c=4 and d=5
A.42***
B.18
C.82
D.360
What is the simplified form of the expression ? -(12x-8y)
A.12x+8y
B.12x-8y*****
C.-12x+8y
D.-12x-8y
4^5 means 4 to the 5th power, or 1024
I suspect you meant something else.
-(12x-8y) means -1(12x-8y) so you must use the distributive rule:
-(12x-8y) = (-1)(12x) + (-1)(-8y) = -12x+8y
So, (C)
Your answer simply ignored the outside minus sign. It is the same as +(12-8y)
To evaluate the expression a/b+c^d with a=6, b=3, c=4, and d=5, we follow the order of operations (PEMDAS/BODMAS):
Step 1: Substitute the given values.
a/b+c^d = 6/3+4^5
Step 2: Evaluate the exponent.
4^5 = 1024
Step 3: Perform division and addition.
6/3+1024 = 2+1024 = 1026
So, the value of the expression a/b+c^d is 1026. Therefore, none of the provided options is correct.
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To simplify the expression -(12x-8y), we distribute the negative sign to both terms inside the parentheses:
-(12x-8y) = -12x + 8y
So, the simplified form of the expression -(12x-8y) is -12x + 8y. The correct option is B.
To evaluate the expression a/b+c^d, we substitute the given values of a, b, c, and d into the expression:
a = 6, b = 3, c = 4, d = 5
So, the expression becomes:
6/3 + 4^5
Now, let's simplify each part of the expression step by step:
6/3 = 2 (Division of two numbers)
4^5 = 4 * 4 * 4 * 4 * 4 = 1024 (Exponentiation, where 4 is raised to the power of 5)
Now, substitute the simplified values back into the original expression:
2 + 1024
And the final result is:
1026
Now, let's move on to the second question:
To simplify the expression -(12x-8y), we need to distribute the negative sign to both terms inside the parentheses:
-(12x) + (-1)(-8y) (Using the distributive property)
Simplifying further:
-12x + 8y (Since (-1)(-8y) equals 8y)
Hence, the simplified form of the expression -(12x-8y) is:
-12x + 8y
Therefore, the correct answer is option B. 12x-8y.