9=
\( 9= \)
\( 64= \)
\( 8= \)
\( 36= \)
\( -16= \)
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 .
To solve this problem and express 64 as a power involving a negative number, we will follow these steps:
Therefore, the correct expression representing 64 with a negative base is , and among the answer choices provided, choice 1 is the correct one.
To solve this problem, let's evaluate both given expressions to determine which results in 8.
Therefore, the expression that equals is .
Thus, the correct expression that evaluates to 8 is .
To determine which expression equals 36, we need to consider how squaring works with negative numbers:
Step 1: Consider the expression . This means that we take -6 and multiply it by itself:
Step 2: Consider the expression . Here, the square acts only on 6, not on the negative sign in front because of the absence of parentheses around -6:
Therefore, the expression correctly equals 36.
The correct choice that satisfies is .
To solve this problem, we'll need to carefully consider the placement of parentheses and the order of operations when dealing with negative numbers and exponentiation:
Let's analyze each possible choice:
Therefore, the expression that correctly equals is choice 1, represented by .
The correct answer is choice 1: .
\( -25= \)
\( -100= \)
\( 49= \)
\( 81= \)
\( -16= \)
To solve this problem, we'll evaluate each expression step by step:
Option a:
This implies that we first compute which equals .
Option b:
First, find . Then, apply the negative sign, resulting in .
Option c:
First, find . Then, apply the negative sign, resulting in .
Options b and c both evaluate to . Therefore, the correct answer is option d: "Answers b and c".
Answers b and c
To solve this problem, follow these steps:
Now, let's evaluate each choice:
Choice 1:
Computing: equals , since is even and any even power of results in . Therefore, this choice cannot be .
Choice 2:
Computing: equals , as squaring a negative number results in a positive number. Thus, this choice cannot be .
Choice 3:
Computing: means first computing , which is , and then applying the negative sign resulting in . Therefore, this correctly matches .
Choice 4:
Computing: is , as any number raised to any power remains itself when the base is . Thus, it cannot equal .
Therefore, the correct choice is , as it evaluates directly to .