What is the base in the exponential form of the expression (−1)(−1)(−1)(−1)?
please answer correctly
The base in the exponential form of the expression (-1)(-1)(-1)(-1) is -1.
Evaluate the expression 1/2⋅4−32.
To evaluate the expression $\frac{1}{2}\cdot 4-32$, we can follow the order of operations (PEMDAS/BODMAS) which says to perform the operations inside parentheses/brackets first, then any exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
$\frac{1}{2}\cdot 4-32$
First, we can simplify the multiplication: $\frac{1}{2}\cdot 4 = 2$
Now we have: $2-32$
Finally, we can perform the subtraction: $2-32 = -30$
Therefore, the expression evaluates to $\boxed{-30}$.
wrong
I apologize for the mistake in my previous response. Let's evaluate the expression again.
To evaluate the expression $\frac{1}{2}\cdot 4-32$, we perform the multiplication before subtraction according to the order of operations.
$\frac{1}{2}\cdot 4-32 $
First, we solve the multiplication: $\frac{1}{2}\cdot 4 = 2$
Now we have: $2 - 32$
Finally, we perform the subtraction: $2 - 32 = -30$
Therefore, the expression evaluates to $\boxed{-30}$.
whats the answer?
Apologies for the confusion. The correct answer is:
$\frac{1}{2}\cdot 4-32$
First, simplify the multiplication: $\frac{1}{2}\cdot 4 = 2$
Now we have: $2-32$
Finally, perform the subtraction: $2-32 = -30$
Therefore, the answer is $\boxed{-30}$.
Solve the problem involving exponents 2/3⋅6−(6−4)3.
please answer correctly
To solve the expression 2/3⋅6−(6−4)3, we follow the order of operations (PEMDAS/BODMAS) which says to perform operations inside parentheses/brackets first, then any exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
Note: The expression 2/3⋅6 can also be written as (2/3)⋅6 for clarity.
First, we evaluate the expression inside the parentheses: (6 - 4) = 2.
Now we have: 2/3⋅6-2^3.
Next, we solve the exponent: 2^3 = 2 * 2 * 2 = 8.
Now we have: 2/3⋅6-8.
Now, we perform the multiplication and division from left to right: 2/3⋅6 = (2/3) * 6 = 12/3 = 4.
Now we have: 4 - 8.
Finally, we perform the subtraction: 4 - 8 = -4.
Therefore, the expression evaluates to $\boxed{-4}$.