For this case we must find an expression equivalent to:
![\frac {\sqrt [7] {x ^ 2}} {\sqrt [5] {y ^ 3}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Csqrt%20%5B7%5D%20%7Bx%20%5E%202%7D%7D%20%7B%5Csqrt%20%5B5%5D%20%7By%20%5E%203%7D%7D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So, rewriting the expression we have:

By definition of power properties we have:

So:

Answer:
Option A
Answer:
<4= 45○
Step-by-step explanation:
Step by step explanation is found on pic.
Hope that Helps :)
Answer:
54-28=26-32=6
Step-by-step explanation:
54-28=26
32-26=6
Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
Answer:
-(1/10)x
Step-by-step explanation:
This is an addition problem. Since the variable (x) is the same in both terms, we need only sum up the coefficients -3/5 and 1/2 and then multiply x by this sum.
-3/5x+1/2x = (-3/5 + 1/2)x
The LCD of -3/5 and 1/2 is 10. The -3/5 term converts to -6/10 and the 1/2 term to 5/10. Thus, we have (-6/10 + 5/10)x = -(1/10)x