Simplify the expression. Write your answer as a power.5^8/5^5​

5^3

Step-by-step explanation:

First, find 5 to the 8th power:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390, 625

Then, find 5 to the 5th power:

5 x 5 x 5 x 5 x 5 = 3,125.

Finally, divided the two numbers:

390, 625/3,125 = 125

Now, right this as a power:

5^3

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb