Answer:
Step-by-step explanation:
4^3 * 4^4 = 4^(3+4) = 4^7
4^7/4^9 = 4^(7-9)
= 4^-2 = 1/4^2
Answer:
x<-8
Step-by-step explanation:
-5x-10>30
(add 10 to both sides)
-5x-10+10>30+10
-5x>40
<
(dividing through by -1 changes the sign of the inequality from "<" to ">")
5x<-40
(dividing through by 5)
<
x<-8
Answer:
Step-by-step explanation:

2x²+4x -16 = 2(x²+2x-8); factor 2
= 2(x+4)(x-2) ;factor the quadratic equation
4x²-16 = 4(x²-4) ; factor 4
=4(x²- 2²) ; rewrite 4 as 2²
= 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)
so now we have:
; simplify (x-2) from numerator and denominator
and 2/4 as 1/2
