Question

I need 1 and 2 can someone please help me I really need help please help me thank you

Answer 1

1.
`(2y^3)/(3)`

2. 9,765,625

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)

`(3x^3y^5\cdot 8xy^4)/((6x^2y^3)^2)=((3\cdot 8)x^((3+1))y^(5+4))/(6^2x^4y^6)=(2)/(3)x^(4-4)y^(9-6)=\boxed{(2y^3)/(3)}`

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2)

`5^3/ 5\cdot(5^2)^4=5^3\cdot 5^(-1)\cdot 5^8=5^(3-1+8)\\\\=5^(10)=\boxed{9\,765\,625}`