Answer: ![\bold{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=%5Cbold%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
<u>Step-by-step explanation:</u>
![64^{\frac{3}{5}}\\\\=2^{6(\frac{3}{5})}\\\\=2^{\frac{18}{5}}\\\\=2^{\frac{15}{5}}\cdot 2^{\frac{3}{5}}\\\\=2^3\cdot \sqrt[5]{2^3} \\\\=\boxed{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B6%28%5Cfrac%7B3%7D%7B5%7D%29%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B18%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B15%7D%7B5%7D%7D%5Ccdot%202%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E3%5Ccdot%20%5Csqrt%5B5%5D%7B2%5E3%7D%20%5C%5C%5C%5C%3D%5Cboxed%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
Answer:
it's either a or b, but I would go with A
Answer:
70
Step-by-step explanation:
Graph it
Answer:
1. Absolute value
: d. | - 7| = 7
2. All real numbers
: b. 3x = 3x
3. x = -5 : c. 5x = -25
4. No solution
: a. |2x| = -10
5. Adding the opposite to both sides of the equation.
: e. Canceling
Step-by-step explanation:
1. Absolute value
: d. | - 7| = 7
The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.
2. All real numbers
: b. 3x = 3x
If we divide both sides by 3, we have x = x, which will always be true.
3. x = -5 : c. 5x = -25
If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25
4. No solution
: a. |2x| = -10
The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.
5. Adding the opposite to both sides of the equation.
: e. Canceling
If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).
