The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
<h3>What is the simplified form of the expression?</h3>
Given the expression;
( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²
First, we use the properties of exponents.
( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )
( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )
We take out the parentheses, such that;
2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴
<em>Note that: </em>2⁶ × 2⁻⁶ = 1, as
Hence, we have
1 × 3⁻¹² × 3⁴
3⁻¹²⁺4
3⁻⁸
Next, we express with positive exponent
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
Learn more on how to simplify expressions here: brainly.com/question/403991
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This question is incomplete, in that the Excel File: data07-11.xlsx a. was not provided, but I was able to get the information on the Excel File: data07-11.xlsx a. from google as below:
57 61 86 74 72 73
20 57 80 79 83 74
The image of the Excel File: data07-11.xlsx a. is also attached below.
Answer:
a) Point estimate of sample mean = 68
b) Point estimate of standard deviation (4 decimals) = 17.8122
Step-by-step explanation:
a) Point estimate of sample mean, \bar{x} = ∑Xi / n = (57 + 61 + 85 + 74 + 73 + 72 + 20 + 58 + 81 + 78 + 84 + 73)/12 = 68
b) Point estimate of standard deviation = sqrt ∑ Xi² - n\bar{x}² / n-1)
= sqrt(((57 - 68)^2 + (61 - 68)^2 + (85 - 68)^2 + (74 - 68)^2 + (73 - 68)^2 + (72 - 68)^2 + (20 - 68)^2 + (58 - 68)^2 + (81 - 68)^2 + (78 - 68)^2 + (84 - 68)^2 + (73 - 68)^2)/11) = 17.8122
Answer:
Step-by-step explanation:
ABC and DEF are congruent
ABC and JKL are not congruent
ABC and QRS are congruent
JKL and DEF are not congruent
JKL and QRS are not congruent
QRS and DEF are congruent
Answer:8 or 9 ft
Step-by-step explanation:
Given
The area of the pool is
The area is in the form of a quadratic equation
So, the roots of the equation will give the length and width of the pool
Therefore length and width can either be .
Answer:
The ratio of x:y is 1/2
Step-by-step explanation:
Let
x----> the number of Kg of brand A
y ---> the number of Kg of brand B
we know that
400x+280y=320(x+y)
400x+280y=320x+320y
400x-320x=320y-280y
80x=40y
x/y=40/80
x/y=1/2