Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
Answer:
-125/27
Step-by-step explanation:
(-3/5)^-3= 1÷(-3/5)³
=1÷(-3³/5³)
=1÷(-27/125)
=1×(125/-27)
=-125/27
Answer:
![27 {x}^{4} {y}^{5}](https://tex.z-dn.net/?f=27%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B5%7D%20)
Step-by-step explanation:
![9 x {y}^{4} \times 3 {x}^{3} y \\ 27 {x}^{1 + 3} {y}^{4 + 1} \\ = 27 {x}^{4} {y}^{5}](https://tex.z-dn.net/?f=9%20x%20%7By%7D%5E%7B4%7D%20%20%5Ctimes%203%20%7Bx%7D%5E%7B3%7D%20y%20%5C%5C%20%2027%20%7Bx%7D%5E%7B1%20%2B%203%7D%20%20%7By%7D%5E%7B4%20%2B%201%7D%20%20%5C%5C%20%20%3D%2027%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B5%7D%20)
X=-84. 3(x-6)+24=50+4(x+10)
distrubute. 3x-18+24=50+4x+40
move terms. 3x+6=90+4x
collect like terms 3x-4x=90-6
subtract -x=84
divide by -1. x=-84