Simplify each expression 4^4/4^6

4^4/4^6 = 1/4^2 = 1/16

is that correct

Yes, that is correct.

what is 5^0 simplified

Any non-zero number raised to the power of 0 is equal to 1. Therefore,

5^0 = 1

what is -2r(8r+5) equal

To simplify the expression -2r(8r+5), we need to distribute the -2r to both terms inside the parentheses.

-2r(8r+5) = -2r * 8r - 2r * 5

Simplifying further:

= -16r^2 - 10r

Therefore, -2r(8r+5) is equal to -16r^2 - 10r.

what is 4a(a^2+7a+4) equal

To simplify 4a(a^2+7a+4), we first need to distribute the 4a to all the terms inside the parentheses as follows:

4a(a^2+7a+4) = 4a*a^2 + 4a*7a + 4a*4

Simplifying further:

= 4a^3 + 28a^2 + 16a

Therefore, 4a(a^2+7a+4) is equal to 4a^3 + 28a^2 + 16a.

(2y-3) (3y-2) equals

To simplify (2y-3) (3y-2), we first need to distribute the first term (2y) to both terms inside the second parentheses, and then distribute the second term (-3) to both terms inside the second parentheses as follows:

(2y-3) (3y-2) = 2y * 3y - 2y * 2 - 3 * 3y + 3 * 2

Simplifying further:

= 6y^2 - 4y - 9y + 6

= 6y^2 - 13y + 6

Therefore, (2y-3) (3y-2) is equal to 6y^2 - 13y + 6.