Answer:
z^12
Step-by-step explanation:
(z^6)^2 is equivalent to z^(6·2), or z^12. Here we have multiplied the exponents 6 and 2 together, obtaining 12.
This obeys the rule of exponents (z^a)^b = z^(ab).
Answer:
10i
Step-by-step explanation:
Since i^2 = -1, and 1000 = 10^3, we can instinctively guess that the answer is 10i. We can validate this by cubing it, yielding 1000i^3, or -1000i.
Area of parallelogram
= L × H
= 23 × 13
= 299 feet²
Answer:
1500mm
Step-by-step explanation:
Multiply the length by 1000
therefore, 1.5×1000
Answer: Please see explanation column for answer.
x= -36
Step-by-step explanation:
Step 1
from the attachment, Mai's solving is given as
1/3 (1/2x- 9) = 1/2 (x+18)
1/6x-3= 1/2x+9
1/4x-3=9
1/4x=12
x=48
Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.
Solving correctly, we have that
1/3(1/2x-9) = 1/2(x+18)
1/6x -3= 1/2x+ 9
taking like terms to like terms
1/6x-1/2x= 9+3
(1-3)/6x= 12
-2/6x= 12
-1/3x= 12
multiplying both sides by -3
-1/3x X -3 = 12 X -3
x= -36
