The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
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12.42
12°+.42(60)
12°25.2'
12°25'+.2(60)
12°25'12"
Hours spent on project= p
4p+2=16 hours
4p=14
p=3 and a half hours
M= 44(x-months y-cost)
b=48(slope-rate of change)
y=44x+48
proportional graph
positive slope
<span>Y = 360,000 - 1500 X
X-intercepts; Y = 0
1500 X = 360,000
X = 240
Y-intercepts; X = 0
Y = 360,000
The Y-intercepts corresponds to the value of the property 0 months after purchase.
The X -intercepts corresponds to the number of months that have passed before the value is 0.
The property is fully depreciated after 240 months or 20 years</span>
