Find all complex solutions to the equation x3+27i=0

Solved

Show answers

Ответ:

allisonlillian

14.05.2023

Mathematics

a) $7ac\sqrt[4]{ab^{2}}\\$

step-by-step explanation:

we have to remove the roots and then apply exponential formula.

given,

$14 \sqrt[4]{a^{5}b^{2} c^{4}} -7ac\sqrt[4]{ab^{2}}$

we know,

$\sqrt[n]{x} =x^{\frac{1}{n}}\\so,14 \sqrt[4]{a^{5}b^{2} c^{4}}=14 (a^{5}b^{2} c^{4})^{\frac{1}{4}} =14(a.a^{4}b^{2} c^{4})^{\frac{1}{4}} =14ac (ab^{2} )^{\frac{1}{4}}\\ since, (x^{n})^{\frac{1}{n}} =x\\and\\14ac (ab^{2} )^{\frac{1}{4}}=14ac\sqrt[4]{ab^{2}}$

so, we get

$14ac\sqrt[4]{ab^{2}}-7ac\sqrt[4]{ab^{2}}\\=7ac\sqrt[4]{ab^{2}}\\$

hence the answer is-

$7ac\sqrt[4]{ab^{2}}\\$

What is the simplified form of the expression assume a is less than or equal to 0 and c is less than

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice