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3 years ago

13

Identify the correct way to write the following in exponential form.

1 answer:

nika2105 [10]3 years ago

5 0

I'm assuming 6(8) is 6^8, and none of the other answers are correct, so the answer is 6(8). This is because you are not multiplying 6 by 8, you are multiplying 6 by 6, but you're doing it 8 times. For example 6 × 6 = 36, 36 × 6 = 216, etc. I hope this helps!

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2 years ago

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navik [9.2K]

The answer is the option d, which is: d) $\frac{-77+21i}{130}$

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

$\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}$

2. Multiply the denominator and the numerator by the conjugated $(3+11i)$ and simplify the expression, as following:

$\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9} \\ \frac{-77+21i}{130}$

3. As you can see, you obtain the expression shown in the option mentioned above.

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3 years ago