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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The sum of the interior angle of a polygon is 720°, thus the value of w will be obtain as follows:
size of each angle is
720/6=120°
thus
8w=120
solving for w we get'
(8w)/8=120/8
w=15°
Answer: w=15°
<span>Cada goma de borrar es $ 5. Primero restar el precio de las revistas ($ 5) del dinero que gastó. Ella ahora tiene $ 20. Luego divida eso entre cuantos borradores compró (4). 20 dividido por 4 es 5. Cada borrador fue de $ 5. ¡Espero que la traducción tenga sentido !!</span>
The man's age is 57 years old.
To find this answer follow the steps below:
1. Subtract 29 from 200 to get 171.
2. Divide 171 by 3 to get 57.
To check this, use the equation 200 - (57 x 3) = 29.
1. 57 x 3 = 171. 200 - 171 = 29
2. 200 - 171 = 29. 29 = 29.
Thus meaning the man is 57 years old. I hope this helps!