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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Answer: The first step would be to multiply the first equation by 3 and the second by 2 so you can eliminate x.
Answer:
0.74
Step-by-step explanation:
Answer:
the formula for finding the perimeter of a rectangle is P=2L+2W
an example of how to find the perimeter is
Explanation:
For a rectangle, its perimeter is the sum of all for sides.
The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.
54=20+20+S+S
Simplify
54=40+2S
Solve for S
14=2S
S=7
Step-by-step explanation:
The angle of the sector is also equal to the arc measure of the circle. This is because a sector is made up of two radii of a circle.
A circle is 360 degrees.
60 / 360 = 1/6
The sector is 1/6 of the circle.
Hope this helps!! :)
