ALGEBRA 2 PROBLEMS HEELP?

anonymous

Write (^9square root 16)^5 using radical notation?

Write 10 ^3/7 using radical notation

Simplify (8x^3y^2)^-3 using positive exponent only

List all possible roots of f(x)=x^3+4x^2+9x+36

List all zeros of previous equation

mary

(^9√ ̅16)^5

= (^9√ ̅2^4)^5

= (2^(4/9))^5

= (2^(1/9)^4)^5

= (^9√ ̅2)^(4*5)

= (^9√ ̅2)^20

10^(3/7) = (^7√ ̅10)^3

(8x^3y^2)^-3

= (2^3*x^3*y^2)^-3

= (2^3*x^3*y^2)^-3

= 2^(3-3)*x^(3-3)*y^(2^-3)

= 2^0*x^0*y^(-1)

= 1*1*y^(-1)

= 1/y

x^3 + 4x^2 + 9x + 36

-3, -2, -1, 1, 2, 3

x^3 + 4x^2 + 9x + 36

= x^2(x + 4) + 9(x + 4)

= (x^2 + 9)(x + 4)

x = -4 or x = ±√ ̅(-9) = ±3i

mitchell

36^5/2 in radical notation?