Answer:
Step-by-step explanation:
Area of the entire rectangle = height * width
= 4w³ *( 5w²-3w-4)
= 4w³ * 5w²- 4w³ *3w - 4w³ *4
=20w⁵ - 12w⁴ - 16w³
Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have

And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)
Answer:
the answer is -48. _______
Answer:
around 4.1
Step-by-step explanation:
Using Pythaogrean theorem we get <em>sqrt 32</em> or <em>4sqrt2 </em>for the diagonal of the square.
To get x we can use Pythagorean theorem again to set up an equation,
32 + x^2 = 49
This gives us x = <em>sqrt17,</em> which is approximately 4.1231 or around 4.1