Answer:
1. [tex]\dfrac{2y^3}{3}[/tex]
2. 9,765,625
Step-by-step explanation:
The relevant exponent laws are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
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1)
[tex]\dfrac{3x^3y^5\cdot 8xy^4}{(6x^2y^3)^2}=\dfrac{(3\cdot 8)x^{(3+1)}y^{5+4}}{6^2x^4y^6}=\dfrac{2}{3}x^{4-4}y^{9-6}=\boxed{\dfrac{2y^3}{3}}[/tex]
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2)
[tex]5^3\div 5\cdot(5^2)^4=5^3\cdot 5^{-1}\cdot 5^8=5^{3-1+8}\\\\=5^{10}=\boxed{9\,765\,625}[/tex]
