Answer:

Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
![[\frac{8x^9}{2x}]^5](https://tex.z-dn.net/?f=%5B%5Cfrac%7B8x%5E9%7D%7B2x%7D%5D%5E5)
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
![[4x^8]^5](https://tex.z-dn.net/?f=%5B4x%5E8%5D%5E5)
Multiply exponents and raise 4 to the power of 5

The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40
Answer:
x = 3
Step-by-step explanation:
MQ : MN = 5:6
MP : MO = 5:6
MQ/MN = 5/6
Hence, MP/MO = 5/6
(5+x)/(6+(18/5)) = 5/6
5+x = (5/6)(48/5)
5+x = 8
x = 3
Final result : -3
Step by step solution :Step 1 : 3 - a Simplify ————— 21 Equation at the end of step 1 : (a - 3) (3 - a) ——————— ÷ ——————— 7 21 Step 2 : a - 3 Simplify ————— 7 Equation at the end of step 2 : (a - 3) (3 - a) ——————— ÷ ——————— 7 21 Step 3 : a-3 3-a Divide ——— by ——— 7 21
3.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
a - 3 3 - a a - 3 21 ————— ÷ ————— = ————— • ——————— 7 21 7 (3 - a)
3.2 Rewrite (3-a) as (-1) • (a-3) Canceling Out : 3.3 Cancel out (a-3) which now appears on both sides of the fraction line.
Final result : -3
Answer:
x = 7
Step-by-step explanation:
since we know y = 4, we can plug this into the equation to find x
8x - 2y = 48
8x - 2(4) = 48
8x - 8 = 48
8x = 56
x = 7