Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
Answer:
y= -2x-3
Step-by-step explanation:
Using the slope intercept form we have to first find the gradient of the line.
m=(y₂-y₁)/(x₂-x₁)
y₁=5
y₂=-9
x₁=-4
x₂=3
Therefore, m= (-9-5)/(3--4)
=-2
Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.
(y-5)/(x--4)=-2
(y-5)/(x+4)=-2
y-5=-2(x+4)
y-5=-2x-8
y= -2x-3
Thus the equation of the line in the slope intercept form is: y= -2x-3
Answer:
0.422
Step-by-step explanation:
0.422 is the valid answer
422/1000
=.422
=0.422
Please mark branliest if you are satisfied with the answer. Thanking you in anticipation.
No.
The three angles of a triangle need to add up to 180 degrees, this means no one angle can be 180 degrees.
Answer:
m=148
Step-by-step explanation:
2=m/2 -72
2+72=m/2
74*2=m
m=148
