Project ID:
7100020070
Accepted:
Typ:
Layout:
Question:
Dopasuj wyrażenia, które są równe dla wszystkich dodatnich liczb $x$.
Question 1:
$$\sqrt{x\sqrt{x}}$$
Answer 1:
$$\sqrt[4]{x^3}$$
Question 2:
$$\sqrt[3]{\sqrt{x^{-1}}}$$
Answer 2:
$$x^{-\frac16}$$
Question 3:
$$\sqrt[3]{x^{-2}}\sqrt[3]{x^2}$$
Answer 3:
$$1$$
Question 4:
$$\left(\sqrt[4]{x^3}\right)^3$$
Answer 4:
$$x^{\frac94}$$
Question 5:
$$\frac{\sqrt[6]{x^5}}{\sqrt[6]{x^2}}$$
Answer 5:
$$\sqrt{x}$$
Question 6:
$$\sqrt[3]{x^2}\sqrt{x}$$
Answer 6:
$$\sqrt[6]{x^7}$$
Question 7:
$$\frac{\sqrt{x}}{\sqrt[4]{x^{-2}}}$$
Answer 7:
$$x$$
Question 8:
$$\sqrt{\sqrt[3]{x^2}}$$
Answer 8:
$$\sqrt[3]{x}$$
Question 9:
$$\left( \sqrt[3]{x^2}\right)^3$$
Answer 9:
$$x^2$$