76.3 rounded to the nearest whole number is 76
No you would not use the Pythagorean Theorem, You would take the two sides and multiply them together, and divide it by 2.
The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Step-by-step explanation:
To simplify
.
Using exponential law the exponents of variables will be added when multiplied as per rule
we get
![\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%282%5E4%29%28x%5E%7B3%5Ctimes%204%7D%29%20%28%20y%5E%7B4%5Ctimes4%7D%20%29%5D%20%7D%7B2%5B%282%5E3%29%28x%5E%7B2%5Ctimes3%7D%20%29%20%28y%5E%7B6%5Ctimes3%7D%20%29%5D%7D%5C%5C)
![\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16} }{16 x^{6}y^{18} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%2816%29%28x%5E%7B12%7D%29%20%28%20y%5E%7B16%7D%20%29%5D%20%7D%7B2%5B%288%29%28x%5E%7B6%7D%20%29%20%28y%5E%7B18%7D%20%29%5D%7D%5C%5C%5C%5C%5Cfrac%7B64x%5E%7B12%7Dy%5E%7B16%7D%20%20%7D%7B16%20x%5E%7B6%7Dy%5E%7B18%7D%20%20%7D)
Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule

So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Keywords: Algebra
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