Answer:
Step-by-step explanation:
The given expression: ![4 \sqrt[5]{x^{3}} \cdot y^{4} \cdot \sqrt{x} \cdot \sqrt[3]{y^{5}}](https://tex.z-dn.net/?f=4%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%20%5Ccdot%20y%5E%7B4%7D%20%5Ccdot%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Csqrt%5B3%5D%7By%5E%7B5%7D%7D)
Step 1: Change radical to fractional exponent.
Formula for fractional exponent: ![\sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
The power to which the base is raised becomes the numerator and the root becomes the denominator.
Step 2: Apply law of exponent for a product 
Multiply powers with same base.
Take LCM for the fractions in the power.
Hence the simplified form of ![4 \sqrt[5]{x^{3}} \cdot y^{4} \cdot \sqrt{x} \cdot \sqrt[3]{y^{5}} \text { is } 4 x^{\frac{11}{10}} \cdot y^{\frac{17}{3}}](https://tex.z-dn.net/?f=4%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%20%5Ccdot%20y%5E%7B4%7D%20%5Ccdot%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Csqrt%5B3%5D%7By%5E%7B5%7D%7D%20%5Ctext%20%7B%20is%20%7D%204%20x%5E%7B%5Cfrac%7B11%7D%7B10%7D%7D%20%5Ccdot%20y%5E%7B%5Cfrac%7B17%7D%7B3%7D%7D)
.
Answer:
105,000 miles.
Step-by-step explanation:
1,250 miles • 12 months • 7 years
Answer:
B: When one quantity is a constant multiple of the other
The distance between the two cities is 500 miles. Since each inch represents 125 miles, you multiply 4*125 to get 500 miles.
Solve for x.
c=8x+60
Flip the equation.
8x+60=c
Add -60 to both sides.
8x+60+−60=c+−60
8x=c−60
Divide both sides by 8.
8x/8=c−60/8
x=1/8c + −15/2
