Raising any negative number to an even power will result in a positive outcome.
When is even:
Master negative number exponentiation with step-by-step practice problems. Learn even vs odd power rules, parentheses placement, and solve real examples.
Raising any negative number to an even power will result in a positive outcome.
When is even:
Raising any negative number to an odd power will result in a negative outcome.
When is odd:
When the exponent is outside the parentheses - it applies to everything inside them.
When the exponent is inside the parentheses - it applies only to its base and not to the minus sign that precedes it.
\( \)\( -(7)^2= \)
To solve for , follow these steps:
Therefore, the value of is .
Answer:
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 .
Answer:
To solve this problem, we need to evaluate expressions by applying the rules of exponents and the effects of parentheses on negative numbers:
Only equals 9, confirming it as the correct expression required by the problem.
Therefore, the solution to the problem is .
Answer:
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
Answer:
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 .
Answer: