All categories

11 months ago

I^333 simplified. pls answer

Mathematics

1 answer:

Oduvanchick [21]11 months ago

7 0

Given:

$i^{333}$ $\begin{gathered} i^{332}i \\ \\ (i^4)^{83}i \end{gathered}$

Solving further:

$\begin{gathered} \text{ Where:} \\ i^4=1 \\ \\ (1)^{83}i \\ \\ =1i \\ \\ =i \end{gathered}$

ANSWER:

$i$

You might be interested in

Who can someone answer this im having trouble

yaroslaw [1]

Answer:

Im not 100% sure but i know 2 and 4 are correct, the rest I think are all wrong but im not sure sorry

4 0

2 years ago

1.<br> Which image is a reflection of the figure shown over the given line of<br> reflection?

Alexeev081 [22]

Answer:

The first one is a reflection of the figure shown over the given line reflection.

3 0

3 years ago

Read 2 more answers

Use the number line to determine the unknown addend. 2 + ____ = 11 -3 + ____ = -11

den301095 [7]

Answer:

For the First one, 2 + 9 = 11. And 11 - 3 + (-19) = -11

Step-by-step explanation:

7 0

3 years ago

Question 7 of 10

yanalaym [24]

The answer is Subtraction

3 0

2 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago