Which is larger?
Which is larger?
\( (-2)^7⬜-2^8 \)
Which is larger?
\( -(5^3)⬜5^3 \)
Which is larger?
\( -(2)^2⬜(-2)^3 \)
Which is larger?
\( (-1)^{69}⬜-(-1)^{79} \)
Which is larger?
\( -2^4⬜-(-2)^4 \)
Which is larger?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Calculate .
Using the power of negative numbers rule, is a negative number because 7 is odd. We perform the calculation:
.
Step 2: Calculate .
Here, is positive since 8 is an even number:
.
But, note the negative sign in front: .
Step 3: Compare and :
We have and . The comparison shows:
.
Therefore, the correct comparison is .
By following the steps and verifying calculations, we conclude that .
>
Which is larger?
To solve this problem, we'll compare the expressions and by calculating each separately and then determining which is larger.
Step 1: Calculate .
This is equal to .
Step 2: Calculate .
Since , applying the negative sign gives us .
Step 3: Compare the values.
We have and .
Clearly, .
Thus, the correct answer is that .
The correct choice for this problem is < .
<
Which is larger?
To solve this problem, follow these steps:
Since is greater than , the symbol is correct.
Therefore, the solution to the problem is .
>
Which is larger?
First, let's evaluate . Since 69 is an odd number, .
Next, evaluate . The power 79 is also odd, so . Applying the additional negative sign results in .
Now, we compare these two results. The expression and the expression .
Comparing the two: is less than .
Therefore, the relationship is .
The correct answer is .
<
Which is larger?
Let's address the problem by evaluating each expression separately:
Step 1: Evaluate .
Here, the expression represents the negative of . The correct interpretation is .
Calculate .
Thus, .
Step 2: Evaluate .
In this expression, is raised to the power 4 first. Because 4 is an even number, results in a positive value, specifically:
.
Therefore, .
Step 3: Compare the results.
We now compare the two outcomes:
Both expressions evaluate to , hence they are equal.
Conclusion: and are equal. Therefore, the relationship is .
Which is larger?
\( -2\cdot(3)^2⬜-(-6)^2 \)
Which is larger?
\( (-1)^{100}⬜-1^{100} \)
Which is larger?
\( 3^3⬜-(-3)^3 \)
Which is larger?
\( ((-4)^2)^2⬜(-(4)^2)^2 \)
Which is larger?
\( (-(-3)^3)^2⬜((2)^2)^4 \)
Which is larger?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Calculate .
First, find . Since , we have:
.
Step 2: Calculate .
First, find . Calculating the square gives:
.
Apply the negative sign: .
Step 3: Compare the results.
We have and .
Since is larger than , we conclude:
The expression is greater than .
Therefore, the solution to the problem is > .
>
Which is larger?
To determine which is larger between and , follow these steps:
Thus, the expression is greater than .
Therefore, the correct comparison is .
The correct choice from the possible answers is .
>
Which is larger?
To compare and , we will calculate each expression separately and then determine their relationship:
Calculate :
means .
First, .
Then, .
Therefore, .
Calculate :
means .
First, . (two negatives multiply to a positive)
Then, . (positive times negative is negative)
Thus, .
Considering the negative sign: .
After calculating, we find that both expressions equal 27. Thus, they are equal.
The correct choice is:
Which is larger?
To solve this problem, we must calculate both expressions step-by-step:
First, consider the expression :
The value of is .
Next, consider the expression :
The value of is .
Therefore, the two expressions are equal.
Conclusion: The correct choice is .
Which is larger?
To solve this problem, we need to follow these steps:
Now, let's proceed with these steps:
Step 1: Evaluate the expression .
The inner expression is . Calculating this gives:
Next, we compute the expression , which simplifies to:
Finally, we square this result:
Thus, the value of the first expression is 729.
Step 2: Evaluate the expression .
First, calculate :
Next, raise this result to the fourth power:
Thus, the value of the second expression is 256.
Step 3: Compare the two results from above:
We have and .
Since 729 is greater than 256, the expression is larger.
Thus, the correct answer is .
>