The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
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Answer:
Which one?
Step-by-step explanation:
If R is between Q and S then QR+RS=QS
given
QR=x+4
RS=3x-1
and QS=27
x+4+3x-1=27
combine like terms
4x+3=27
minus 3 both sides
4x=24
divide both sides by 4
x=6
sub back
QR=x+4
QR=6+4
QR=10
RS=3x-1
RS=3(6)-1
RS=18-1
RS=17
x=6
QR=10
RS=17
The absolute value inequality for the graph is given as |x| < 4
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
The absolute value is given by:
|x - average| = distance to midpoint
From the graph:
x > -4 and x < 4
The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4
Average = (-4 + 4)/2 = 0
Hence:
|x - 0| = 4
|x| < 4
The absolute value inequality for the graph is given as |x| < 4
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Calculate The mode of this set of numbers 2,5,1,6,3,8,5,9,2,4,7
koban [17]
The mode is 5 & 2 because they both appear the most and the same amount of times that’s why they’re both the mode.