19. Answer: 3p^6
Working:
3p^4 x p^2 = 3p^6
(Formula: a^b x a^c = a^b+c)
20.Answer: 42z^8
7z^5 x 6z^3 = 42z^8
(Same formula as Q19)
7. Answer: a^-4 or 1/a^4
a^3 / a^7 = a^-4
(Formula: a^b / a^c = a^b-c)
8. Answer: j^-1 or 1/j
(Same as Q7)
9. Answer: 1
(Same as Q7)
(x^0 = 1)
10. Answer: k^-4
(Same as Q7)
11. Answer: 3x^3/4
(Same as Q7)
(9/12 = 3/4)
12. Answer: 2f^5
13. Answer: (y^8)/2
(Same as Q7)
(4 - (-4)) = (4 + 4)
14. Answer: 1/n^5
(negative power = 1/power)
Sorry got no more time sorry
Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
Answer:
i dont see and questions.
Step-by-step explanation:
Answer:
(5n) / m^2
Step-by-step explanation:
45m^2n^4
---------------
18m^4n^3 may be factored into m, n and constant terms:
45 m^2 n^4
----- * ---------- * -----
18 m^4 n^3
45/18 reduces to 5/2.
m^2 / m^4 reduces to 1 / m^2.
n^4 / n^3 reduces to n. 5n
Multiplying these results together produces: --------
m^2