An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.
Using the exponential property (mᵇ)ˣ = mᵇˣ,
=
=
Hence, the given exponential expression when simplified will result in 4^(1/8).
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Answer:
option d
Step-by-step explanation:
(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)
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Answer:
t = 4 h
Step-by-step explanation:
Painter A initial fee 40 $ and each hour charge 45 $
Painter B initial fee 100 $ and each hour charge 30 $
The equations for painters are straight lines.
The initial fee is the intercept of the line with the y-axis ( painters receive 40 and 100 $ respectively and they have done nothing.
The equation for a straight line is:
y = m*x + b where m is the slope and b the intercept with the y-axis
Then
Painter A when x = 0 y = b = 40
And each hour of work cost 45 $ then f x = t in hours
The equation for Painter A is y = 45*t + 40
Similarly, the equation for Painter B is
y = 30*t + 100
We have a two equations system, the solution will indicate when the two painters will charge the same amount of money
y = 45*t + 40 (1)
y = 30*t + 100 (2)
Equation 1 - equation 2
0 = 15*t - 60
15*t = 60
t = 60/15
t = 4 h
Answer:
The answer is 3% bc only 3% fall into all 3 gategories