Primeira página
/
Matemática
/
Question Given xgt 0 , simplify sqrt [4](x^36) completely. Answer Attemptiout of 2 square

Pergunta

Question
Given xgt 0 , simplify sqrt [4](x^36) completely.
Answer Attemptiout of 2
square

Question Given xgt 0 , simplify sqrt [4](x^36) completely. Answer Attemptiout of 2 square

Solução

expert verifiedVerification of experts
4.5239 Voting
avatar
GuilhermeElite · Tutor por 8 anos

Responder

To simplify the expression $\sqrt[4]{x^{36}}$, we need to find the fourth root of $x^{36}$. <br /><br />The fourth root of a number is the same as raising that number to the power of $\frac{1}{4}$. So, we can rewrite the expression as:<br /><br />$\sqrt[4]{x^{36}} = (x^{36})^{\frac{1}{4}}$<br /><br />Using the property of exponents, we can multiply the exponents:<br /><br />$(x^{36})^{\frac{1}{4}} = x^{36 \cdot \frac{1}{4}} = x^9$<br /><br />Therefore, the simplified expression is $x^9$.
Clique para avaliar: