To evaluate the expression, we should follow the order of operations, which is a set of rules that determines the order in which calculations are performed.
First, we compute the division (8/2):
8/2 = 4
Next, we calculate the exponent (2^3):
2^3 = 8
Now, we have:
(8/2) + 2^3 - 5 = 4 + 8 - 5
Finally, we solve the addition and subtraction from left to right:
4 + 8 - 5 = 12 - 5 = 7
Therefore, the value of the expression is 7.
Evaluate the expression (8/2) + 2 to the power of 3 - 5
27 answers
What is the expression 17 x 2 = 4 to the power of 2 + 6 in simplest form?
To simplify the expression, we again follow the order of operations.
First, we solve the exponent (4^2):
4^2 = 4 x 4 = 16
Next, we have the expression:
17 x 2 = 16 + 6
Now, we can solve the multiplication and addition from left to right:
17 x 2 = 34
34 = 16 + 6 = 22
Therefore, the simplified form of the expression is 22.
First, we solve the exponent (4^2):
4^2 = 4 x 4 = 16
Next, we have the expression:
17 x 2 = 16 + 6
Now, we can solve the multiplication and addition from left to right:
17 x 2 = 34
34 = 16 + 6 = 22
Therefore, the simplified form of the expression is 22.
Solve the multi-step problem (1/2) times 4 to the power of 2 - (4-6)/2
To solve the multi-step problem, we again follow the order of operations.
First, we calculate the exponent (4^2):
4^2 = 4 x 4 = 16
Next, we solve the division (1/2) times 16:
(1/2) x 16 = 8
Now, we have:
8 - (4 - 6)/2
Next, we evaluate the subtraction inside the parentheses:
8 - (4 - 6)/2 = 8 - (-2)/2
Then, we solve the division:
8 - (-2)/2 = 8 - (-1)
Now, we calculate the subtraction:
8 - (-1) = 8 + 1 = 9
Therefore, the answer to the multi-step problem is 9.
First, we calculate the exponent (4^2):
4^2 = 4 x 4 = 16
Next, we solve the division (1/2) times 16:
(1/2) x 16 = 8
Now, we have:
8 - (4 - 6)/2
Next, we evaluate the subtraction inside the parentheses:
8 - (4 - 6)/2 = 8 - (-2)/2
Then, we solve the division:
8 - (-2)/2 = 8 - (-1)
Now, we calculate the subtraction:
8 - (-1) = 8 + 1 = 9
Therefore, the answer to the multi-step problem is 9.
What is the exponent in the exponential form of the expression (1/8) (1/8) (1/8)?
To find the exponent in the exponential form of the expression (1/8) (1/8) (1/8), we need to determine how many times the base (1/8) is multiplied by itself.
Since we have three factors of (1/8), we can express the expression as (1/8)^3.
Therefore, the exponent in the exponential form is 3.
Since we have three factors of (1/8), we can express the expression as (1/8)^3.
Therefore, the exponent in the exponential form is 3.
What is the base in the exponential form of the expression (-1) (-1) (-1) (-1)?
To find the base in the exponential form of the expression (-1) (-1) (-1) (-1), we need to determine what number is being repeatedly multiplied.
Since we have four factors of (-1), we can express the expression as (-1)^4.
Therefore, the base in the exponential form is -1.
Since we have four factors of (-1), we can express the expression as (-1)^4.
Therefore, the base in the exponential form is -1.
Evaluate the expression 1/2 times 4 - 3 to the power of 2
To evaluate the expression 1/2 times 4 - 3 to the power of 2, we again follow the order of operations.
First, we solve the exponent (3^2):
3^2 = 3 x 3 = 9
Next, we solve the multiplication and subtraction from left to right:
1/2 times 4 - 9 = 2 - 9 = -7
Therefore, the value of the expression is -7.
First, we solve the exponent (3^2):
3^2 = 3 x 3 = 9
Next, we solve the multiplication and subtraction from left to right:
1/2 times 4 - 9 = 2 - 9 = -7
Therefore, the value of the expression is -7.
Solve the problem involving exponents 2/3 times 6 - (6 - 4) to the power of 3
To solve the problem involving exponents, we need to follow the order of operations.
First, we solve the subtraction inside the parentheses:
6 - 4 = 2
Next, we solve the exponent (2^3):
2^3 = 2 x 2 x 2 = 8
Now, we have:
2/3 times 6 - 8
Next, we evaluate the multiplication and subtraction from left to right:
(2/3) times 6 - 8 = 12/3 - 8 = 4 - 8 = -4
Therefore, the solution to the problem is -4.
First, we solve the subtraction inside the parentheses:
6 - 4 = 2
Next, we solve the exponent (2^3):
2^3 = 2 x 2 x 2 = 8
Now, we have:
2/3 times 6 - 8
Next, we evaluate the multiplication and subtraction from left to right:
(2/3) times 6 - 8 = 12/3 - 8 = 4 - 8 = -4
Therefore, the solution to the problem is -4.
Solve the multi-step problem (2 + 5) - 16/(2) to the power of 3
To solve the multi-step problem, we again follow the order of operations.
First, we solve the addition inside the parentheses:
2 + 5 = 7
Next, we solve the division:
16 / (2) = 8
Now, we have:
7 - 8^3
Next, we evaluate the exponent (8^3):
8^3 = 8 x 8 x 8 = 512
Now, we have:
7 - 512
Finally, we solve the subtraction:
7 - 512 = -505
Therefore, the solution to the multi-step problem is -505.
First, we solve the addition inside the parentheses:
2 + 5 = 7
Next, we solve the division:
16 / (2) = 8
Now, we have:
7 - 8^3
Next, we evaluate the exponent (8^3):
8^3 = 8 x 8 x 8 = 512
Now, we have:
7 - 512
Finally, we solve the subtraction:
7 - 512 = -505
Therefore, the solution to the multi-step problem is -505.
In a major or minor scale which scale degree is called the tonic?
In a major or minor scale, the first scale degree is called the tonic. The tonic note or pitch is considered the most stable and important tone and is often used as a point of resolution in music. It sets the tonal center or key of the scale and is the note from which the other scale degrees are derived.
Which type of scale follows this pattern of whole and half steps: W-H-W-W-H-W-W?
The type of scale that follows the pattern of whole (W) and half (H) steps: W-H-W-W-H-W-W is a major scale. This specific pattern of whole and half steps is the standard formula for constructing a major scale in Western music.
Which type of scale follows this pattern of whole and half steps: W-W-H-W-W-W-H?
The type of scale that follows the pattern of whole (W) and half (H) steps: W-W-H-W-W-W-H is a natural minor scale. This specific pattern of whole and half steps is the standard formula for constructing a natural minor scale in Western music.
Music based on major scales tends to create what type of mood?
Music based on major scales tends to create a bright and happy mood. Major scales are generally associated with feelings of joy, celebration, and positivity. They are commonly used in upbeat and uplifting songs, as well as in music that aims to evoke a sense of optimism and contentment.
Music based on minor scales tends to create what type of mood?
Music based on minor scales tends to create a sad, melancholic, or introspective mood. Minor scales are often associated with feelings of sadness, longing, and introspection. They are commonly used in music that aims to convey a sense of emotional depth, tragedy, or mystery. Minor scales can create a sense of tension and create a somber or reflective atmosphere in the music.
What do parallel scales share?
Parallel scales share the same tonic or starting note. In music theory, parallel scales are scales that begin on the same pitch but differ in their mode (such as major or minor) or in other aspects like alterations or key signature. For example, the parallel minor of a major scale starts on the same tonic note but has a different pattern of intervals. Because of their shared starting pitch, parallel scales often have a similar melodic or harmonic relationship with each other and may be used to create contrasting or complementary musical expressions.