Answer:
500/512 or about 0.977
Step-by-step explanation:
flip first fraction cause negative exponent: (25/64)^3/2*64^1/3
simplify: (125/512)*4
125*4=500 so 500/512
8x is the slope .. 6 is the y-intercept
Hi there!
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I believe your answer is:

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Here’s why:
- We are supposed to rewrite a radical expression as an expression with fraction exponents.
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The rule for a fraction exponent is:
![a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%7D%3D%5Csqrt%5By%5D%7Ba%5Ex%7D%5C%5C%5C%5C%5C%5C%5Chuge%5Cboxed%7B%5Cfrac%7B%5Ctext%7BPower%7D%7D%7B%5Ctext%7BRoot%7D%7D%7D)
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We are given the expression of
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![\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BRewriting%20the%20expression%3A%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7By%5E2%7D%5C%5C%5C%5C%5Ctext%7BThe%20%273%27%20is%20the%20root%20and%20the%20%272%27%20is%20the%20power.%7D%5C%5C%5C%5C%5Crightarrow%20%5Csqrt%5B3%5D%7By%5E2%7D%20%5C%5C%5C%5C%5Crightarrow%20%7By%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
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Hope this helps you. I apologize if it’s incorrect.
Answer:
Option 4
Step-by-step explanation:
Coordinances for a three-dimensional coordinate system are (x, y, z).
The letter labeling each axis is always on the positive side.
The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.