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3 years ago

What is (-i)^5? A. 1 B. i C. -1 D. -i

Mathematics

2 answers:

zmey [24]3 years ago

8 0

Answer: D. -i

Step-by-step explanation:

Because....

Apply exponent rule : ( -a )^n = -a^n, n is odd
( -i ) ^5 = i^5
The final answer is i^5 or -i

* Hopefully this helps:) Mark me the brainliest:)!!

jenyasd209 [6]3 years ago

3 0

Answer:

I'm pretty sure that it's -i

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3 years ago

What does 24 divided by 1.5 equal.

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3 years ago

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Vlad [161]

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3 years ago

Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

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3 years ago