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)
.
I dont know the answer i pressed on the wrong topic im sorry
1. √16 = 4
2. √2.25 = 1.5
3. 6^2 / 9 *2 = 8
4. 12-2 / 6+4 = 1
5. √16+9 = 5
6. 63 / 3^2 + |2| = 9
Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
