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:
x = 21
Step-by-step explanation:
Givens:
Every triangle's interior angles add up to 180°
The triangle has a right angle.
The triangle is isosceles (two equal sides and two equal angles)
Let's make an equation with the information we have already.
2 × (2x + 3) + 90 = 180
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
Answer:
<e & <g are vertical
<e & <a are corresponding
<e & <a are alternate interior angles
<g & <a are alternate exterior angles
<g & <f are none of the above
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Answer:
1 decilitre
Step-by-step explanation:
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