Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: ![a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=a%5E%7B%28%5Cfrac%7Bm%7D%7Bn%7D%29%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Hence, ∛27 = 
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
![\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B%283%29%7D%20%7D%20%3D%203%5E%7B%5B%283%29%2A%28%5Cfrac%7B1%7D%7B3%7D%29%5D%7D)
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.
To do these problems, plug in a couple of values into the equations, and see the general shape of the graph. To ensure you were right, check them on an online graphing calculator. I highly recommend Desmos Graphing Calculator. Cheers!
Answer:
46.5
Step-by-step explanation:
Of all straight angles have 180 degrees in them.
So, to find x we need to form this equation:
x + 65 + x - 22 = 180
2x + 43 = 180
2x = 180-43
2x = 137
68.5 degrees = x
68.5-22 = 46.5 degrees.
m<CBD = 46.5 degrees.
m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.
X = pens and y = pencils
4x + 7y = 13.25
y = 0.75
4x + 7(0.75) = 13.25
4x + 5.25 = 13.25
4x = 13.25 - 5.25
4x = 8
x = 8/4
x = 2 <===so each pen cost 2 bucks
- 3 ( x - 1 ) = 18
- or, 3x - 3 = 18
- or, 3x = 18 - 3
- or, 3x = 15
- or, x = 15 ÷ 3
- or, x = 5
<u>Answer</u><u>:</u>
<u>x </u><u>=</u><u> </u><u>5</u>
Hope you could understand.
If you have any query, feel free to ask.
