(−2)7=
\( (-2)^7= \)
\( \)\( -(2)^2= \)
Solve the following expression:
\( \)\( (-8)^2= \)
\( -(-1)^{80}= \)
\( -6^2= \)
To solve for , follow these steps:
Therefore, the value of is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Calculate . This is equal to .
Step 2: Apply the negative sign: The expression now becomes .
Therefore, the value of the expression is .
This matches choice 4, which is .
Solve the following expression:
When we have a negative number raised to a power, the location of the minus sign is very important.
If the minus sign is inside or outside the parentheses, the result of the exercise can be completely different.
When the minus sign is inside the parentheses, our exercise will look like this:
(-8)*(-8)=
Since we know that minus times minus is actually plus, the result will be positive:
(-8)*(-8)=64
To solve this problem, we'll evaluate the expression .
Since the exponent 80 is an even number, by applying the rule for negative powers, .
The expression is , which simplifies to , because negating 1 results in .
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The expression involves squaring the number 6. According to the order of operations, we compute exponents before multiplying by -1.
Step 2: This means we first calculate , which is equal to 36.
Step 3: After evaluating the square, apply the negative sign: .
Therefore, the solution to the problem is .
\( \)\( (-1)^{99}= \)
\( \)\( -(-1)^{100}= \)
\( \)\( -(-2)^3= \)
\( \)\( -(-6)^2= \)
\( \)\( -(7)^2= \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The exponent is , which is odd.
Step 2: For the power of , the rule states that if the exponent is odd, . Thus, .
Therefore, the solution to the problem is .
To solve the problem, we need to evaluate the expression .
Therefore, the solution to the problem is .
To solve the expression , we need to first calculate the inner power and then apply the outer negative sign.
Therefore, the solution to the problem is , which matches choice number 2.
To solve the problem of evaluating , we will follow these steps:
Let's work through these steps:
Step 1: Calculate . We know that when squaring a negative number, the result becomes positive: .
Step 2: Now apply the negative sign to this result. The expression is , which equals .
Therefore, the solution to the problem is .
The given problem asks us to evaluate the expression . To solve this, we must correctly handle the operations of exponentiation and negation.
Firstly, examine :
- means multiplying 7 by itself.
- Calculating this gives: .
Next, apply the negative sign to the result:
- The expression indicates that we apply the negative sign to the result of .
- Therefore, multiply the result by :
.
Thus, the correct evaluation of the expression is .
Thus, the solution to this problem is .
\( -(-5)^3= \)
\( ((-2)^2)^2= \)
\( \)\( -(-(3)^2)^2= \)
\( \)\( (-(2)^2)^2= \)
\( \)\( (-3)^4= \)
To solve , we proceed as follows:
Therefore, the solution to the problem is .
To solve the given problem, we'll use rules of exponents and follow these steps:
Here's the detailed breakdown:
Step 1: Determine .
Using the property of exponents, .
Step 2: Now, square the result from Step 1.
You are to calculate .
.
Therefore, the solution to the problem is .
To solve the expression , we will strictly follow the order of operations, PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Therefore, the solution to the problem is .
To solve this problem, we'll methodically approach it by following these steps:
Now, let's execute each step in detail:
Step 1: Simplify the expression inside the parentheses .
Calculate :
Substitute back into the expression:
Step 2: Evaluate the expression .
Calculate the square:
The solution to the problem is , which corresponds to choice 2.
To solve the problem , we'll perform the following computations step-by-step:
The properties of exponents ensure that results in a positive number because the exponent is even.
Therefore, the solution to the problem is . The correct answer corresponds to choice 3.