I need help with this. Please and thank you! ❤

Answer

5 to the power of 7

Explanation

Multiply the length by the width. When multiplying numbers with exponents and similar bases, you can just add the exponents. If this doesn't make sense I'll show you.

The length is 5*5*5*5.

The width is 5*5*5.

Multiply this, and you get 5*5*5*5*5*5*5.

This is 5 times itself seven times.

The area of the rectangle is 5 to the power of 7.

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