Evaluate the expression. (7 + 3)^0
Answers
Answer:
1
Step-by-step explanation:
PEMDAS- Parenthesis, Exponents, Multiply, Divide, Add, and Subtract.
First, do parenthesis.
(7+3)⁰
Add.
7+3=10
10⁰=1
= 1
Therefore, the final answer is 1.
The required expression evaluates to 1.
When we raise a number to the power of 0, the result is always 1, except when the base is 0 itself (as 0⁰ is undefined). This is a fundamental property of exponentiation.
In the given expression, (7 + 3)⁰, we have a simple addition inside parentheses. The sum of 7 and 3 is 10. Therefore, the expression simplifies to 10⁰.
Since any non-zero number raised to the power of 0 is 1, the value of 10^0 is equal to 1.
Hence, the expression evaluates to 1.
Learn more about exponentiation here:
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Related Questions
Find 30% of 26. I need help really bad.
Dosha is creating a new dessert that has two layers shaped like cones. The inner cone is frozen ice cream and has a diameter of 10 cm and a height of 6 cm. The outer layer is a thin wafer shell, like an upside-down ice cream cone, with a height of 14 cm and the same diameter as the inner layer. Dosha will inject a cream filling into the space.What is the volume of the cream filling? Round your answer to one decimal place and use 3.14 to approximate pi.
#5 Find the unit rate of thetuation below.ou run 12 miles in 2 hours
The widths of two similar rectangles are 25 ft. and 20 ft. What is the ratio of the perimeters?
Answers
x² - 16 = 0
x² = 16
√x² = √16
x = 4 or -4
Question 7
x² + 3x - 54 = 0
Factorizing
Find two numbers that add to make 3x and multiply to make 54
Write out the factor of -54 in pairs
1, -54
-1, 54
2, -27
-2, 27
3, -18
-3, 18
4, -16
-4, 16
6, -9
-6, 9
Then find the pair that, when added = +3 (in bold)
-6 + 9 = 3
x² + 9 - 6x - 54 = 0
x(x + 9) -6(x + 9)
Use the (x + 9) and the coefficient of these brackets to make double brackets.
(x+9)(x-6) = 0
If the product of two terms =0, at least one must equal 0
x + 9 = 0
x = -9
x - 6 = 0
x = 6
x = -9 or 6
Question 8
2x² -11x - 6 = 0
First, multiply the coefficient of x² by the value of c (the number on its own)2 x -6 = 12
This time, find factors of -12 that equal -11
1, -12
-1, 12
2, -6
-2, 6
3, -4
-3, 4
The pair is in bold
1 + -12 = -11
2x² -12x + x - 6
Split down the middle and factorise in singe brackets
2x(x - 6) 1(x - 6)
Now use the brackets pre-made (x - 6) and put together what is in front of them (2x +1)
(2x + 1)(x - 6)
If the product of two or more terms = 0, at least 1 must equal 0
2x + 1 = 0
2x = -1
2x/2 = x -1/2 = -0.5
x - 6 = 0
x = 6
x = -0.5 or 6
Question #6:
They expect you to remember that the difference
of two squares can be factored as
(the sum of the squared numbers) times (their difference).
So [ x² - 16 = 0 ] can be written as (x + 4) (x - 4) = 0 .
Now, a rule that you've used hundreds of times before
and you'll use thousands of times again:
If the equation says that the product of two things is zero,
then the equation is true if EITHER of them is zero.
So ...
(x+4) = 0 gives you one solution,
and (x-4)=0 gives you the other solution.
__________________________________
Question #7:
Factor the left side of the equation.
(x + 9) (x - 6) = 0 .
Now, use a rule that you heard somewhere VERY recently:
If the equation says that the product of two things is zero,
then the equation is true if EITHER of them is zero.
So ...
(x + 9) = 0 gives you one solution, and
(x - 6) gives you the other one.
_______________________________________
Question #8:
Factor the left side of the equation:
(2x + 1) (x - 6) = 0
Now use the golden rule that you've memorized by now:
If the equation says that the product of two things is zero,
then the equation is true if EITHER of them is zero.
So ...
(2x + 1) = 0 gives you one solution,
and (x - 6) = 0 gives you the other one.
Answers
The amount charged by the accountant after first hour = $23
Total earnings of the accountant = $127
Let us assume that he worked for = x hours
then
35 + 23x = 127
23x = 127 - 35
23x = 92
x = 4
So from the above deduction we can conclude that the accountant worked for 4 hours. I hope the procedure is simple enough for you to understand.
Answers
Answer:
6
Step-by-step explanation:
The add up when multiplied
explanation: you would multiply the constants; in this case it is 4 and 2 which gives you 8. When multiplying exponents you would add the exponents together and keep the variable (in this case you keep x where it is and you keep y where it is, the only that would change is the exponent). x^2 and x^3 gives you x^5. y^3 and y^4 gives you y^7.
B. 201 scoops
C. 402 scoops
D. 18 scoops
Answers
Answer: d
Step-by-step explanation:
Answers
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
=∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28
Answers
Answer: Yes , there is a proportional relationship between his earnings and the number of newspapers Alec delivers.
Step-by-step explanation:
Given statement :Alec ear 6 for every 3 newspapers he delivers.
As Alec deliver 3 newspaper, he will earn $6 per newspaper.
As he increases delivering newspaper, his earning will also increases.
Hence, there is a proportional relationship between his earnings and the number of newspapers Alec delivers.