Answer:
original fraction =12/5
Step-by-step explanation:
let x = numerator
therefore
x+3/x-7+3 =15/8
x+3/x-4 =15/8
8(x+3)=15(x-4)
8x+24=15x-60
84=7x
84/7=x
12=x
therefore original fraction = 12/5
Answer:
37
Step-by-step explanation:
6th square number is 6 and 6² = 36
first cubed number is 1 and 1³ = 1
36+1=37
Answer:

Step-by-step explanation:
we know that
The algebraic expression is equal to

Remember that

and

so

substitute

Answer:
Find the smallest multiple the denominators have in common
30
Expand each fraction so that the denominators are 30

Add or subtract the numerators and keep the same denominator

Simplify

(-54x^9/y^4)^2/3
(-54x^9)^2/3/(y^4)^2/3
-36x^6/y^2.6