Need some math help! I have a few questions that I need a little help on! Thank you!!

1.) Write using negative exponents 1/6^4
2.)Multiply and simplify 3^-2(negative 2)X3^3
3.)Divide and simplify 4^-2/4^4
4.)Divide and simplify y/y-5
5.)Simplify (2^3)-^2
6.)Solve 2.3=-y/2

Negative exponent means that it is shifted to the bottom.
1) this is simply 6^(-4)
when you multiply things with different powers but the same base number, you add the powers
2)3^(-2)*3^3=>3^(3-2)=>3^1=3, so the answer is 3
when you divide you do the opposite, you subtract
3)4^(-2-4)=>4^(-6)=>1/4^6
4)pretty sure you can't simplify any more, but I could be wrong on this one.
When raising powers to powers, you multiply them (I'm assuming that's supposed to be ^(-2))
5)2^(3*-2)=>2^-6=1/2^6
6)multiply by -2 to both sides
-4.6=y

1) 6^-4 (negative four)
a negative power will shift something to the other side of a fraction
2) 3^3/3^2
again, the negative power 'moves' the number to the other side of the fraction
3^1
the three cubed cancels the three squared from the bottom, leaving only the three to the power of one (3)
3) 1/(4^6)
again with the neagtive index. i think this is the main point you need to understand from this
4) I do not believe this can be further simplified
5) 2^ -6
(a^m)^n = a^(m*n)
6) y=-4.6
multiply both sides by 2, and then divide both sides by -1

hope this helped

any number raised to a negative exponent is equal to 1 over the number with its positive exponent. example: 5^ -2 = 1/5²

1. 1/6^4 = 6^ -4
2. 3^ -2 x³ = x³/3² or x³/9
3. 4^-2/4^4 = 1/4^6
4. y/(y-5) is already in its simplified form
5. if it's (2³)^-2 then (2³)^ -2= 1/(2³)² = 1/2^6 or 1/128
6. 2[2.3= -y/2]2 -->multiply both sides by 2 to eliminate denominator
4.6 = -y -->then divide both sides by -1 to get y
y= -4.6

1. 6^-4
2. 3^1 = 3.
3. 1/4^-6
4. Already simplified.
5. 2^6, 64.
6. -4.6 = y

1. 6^-4

2. 3

3 1/4^6 or 4^-6

4 y^6
5 1/64
6 6=-y/2 y=-12