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Xelga [282]
3 years ago
5

Which complex number is equivalent to the given expression? (-45 - 22i) + 2(5 - 3i)(5 + 3i)

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Hint:

Use distributive property, then combine like terms.

I think you've got it from there :)

If you need more help, just comment on this.

If you still are confused, then see below.

Answer:

-45-22i+(10-15i)(5+3i)

-5-22i+50+30i-75i-45i

112i-45

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Answer:

535572

Step-by-step explanation:

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Luis bought a pair of pants and a shirt He spent $15 on the pants. He bought five shirts that each cost d dollars less than the
Natali5045456 [20]
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Please help!! This is so confusing! 100 points!!
masya89 [10]

Answer:

The value of the expression given is:

  • 4

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

  1. [(3^8)*(2^(-5))*(9^0)]^(-2)
  2. [(2^(-2))/(3^3)]^4
  3. 3^28

Now, we can solve each part one by one:

<em>First part. </em>

  • 3^8 = 6561
  • 2^(-5) = 0.03125
  • 9^0 = 1 (Whatever number elevated to 0, its value is 1)
  • (6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

  • 205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688 </u>

<em>Second part. </em>

  • 2^(-2) = 0.25
  • 3^3 = 27
  • 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

  • 0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528 </u>

<em>Third Part. </em>

  • 3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>

At last, we multiply all the results obtained:

  • 0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>

<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.

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Answer:

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