Simplify and express each of the following in the exponential form 1. 5^4x x^10 y^5
5^4 x x^7 y^4
2. 2/3 whole cubed 5 x 3/5 whole cubed 5
3. 9^8 x(x^2) whole cubed 5
(27) whole cubed 4 x (x^3) whole cubed 2

Q1 and 3 are fractions 1 over another.

PL HELP

ab: 2 n83b8eb7ebi. 8e yen in

its adding 5.5 each time

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)