Write 7*10*10*10*10 with an exponent 7*10*10*10*10=
2 answers:
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Answer:
Options (2) and (3)
Step-by-step explanation:
Let,
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a =
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a =
=
=
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a =
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
Answer:
3/2
Step-by-step explanation:
After talking with you here are two different options I think you are trying to ask:
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If you are talking about:
Answer: -62
Explanation:
PEMDAS tells us we need to do the exponent first:
-12³ = (-12)³ = -1728
<em>The parentheses are important so you cube the negative sign as well!</em>
3³ = 27
-1728 / 27 = -62
simplified is -62
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If you are talking about (-1)³
Answer: -
Explanation:
First, let us turn -1 and two thirds into a mixed number:
Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get
To cube it we must do:
()(
)(
)
3 times 3 (9) times 3 is 27
5 times 5 (25) times 5 is 125
So we have 125/27
For the negative, we have three - - -
Two cancel each other out, and we are left with one (-) so our answer is negative
(-1)³ simplifed is -