Answer:
Step-by-step explanation:
![{x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B%20-%202%7D%20%20%7By%7D%5E%7B3%7D%20%20%5Csqrt%5B3%5D%7B%2064%7Bx%7D%5E%7B5%7D%20%20%7By%7D%5E%7B3%7D%20%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%5C%5C%20%20%5C%5C%20%20%7Bx%7D%5E%7B%20-%202%7D%20%20%7By%7D%5E%7B3%7D%20%20%20%5Ctimes%204%20%5Ctimes%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%7D%7B3%7D%20%7D%20%20%20%5Ctimes%20y%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%7D%7B3%7D%20-%202%20%7D%20%20%7By%7D%5E%7B3%20%2B%201%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%20-%206%7D%7B3%7D%20%7D%20%20%7By%7D%5E%7B4%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B%20-%201%7D%7B3%7D%20%7D%20%20%7By%7D%5E%7B4%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%20equating%20%5C%3A%20like%20%5C%3A%20terms%20%5C%3A%20on%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%5C%5C%20a%20%3D%204%20%5C%5C%20%20%5C%5C%20b%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20c%20%3D%204%20%5C%5C%20%20%5C%5C%20abc%20%3D%204%20%5Ctimes%20%28%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5Ctimes%204%20%5C%5C%20%20%5C%5C%20%20%3D%2016%20%5Ctimes%20%28%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5C%5C%20%20%5C%5C%20abc%20%3D%20%20-%20%20%5Cfrac%7B16%7D%7B3%7D%20)
Answer:
24 square units
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where A represents the area, b the length of the "base", and h the "height" measured at right angles to the base.
Here, it is convenient to use one vertical side of the figure as the base. You can count the grid squares to see that it is 8 units long.
The height is then the distance from one vertical side to the other. Again, you can count the grid squares to see that it is 3 units.
The area is the product of these dimensions:
A = (8 units)·(3 units) = 24 units^2
Answer:
Standard: 0.712
Expanded: 0.7 + 0.01 + 0.002
Step-by-step explanation:
Seven hundred twelve thousandths
.tenths,hundredths,thousandths
0.712
Every number in expanded fits in its place.
0.712
^ ^ ^
0.7 0.01 0.002
Answer:
3/4 ÷ 1/2
Step-by-step explanation:
Answer:
the one gonna truend into two
at th down the two truend into one y is the meaning that connot has issue with fractions
