5272道题目5525 条题源记录 · 相同内容已合并
根式与有理指数挑战
\( p=\sqrt{12c}-25 \)
The given equation relates the variables p and c, where c is positive. Which equation correctly expresses c in terms of p?
原库参考解析
根式与有理指数进阶
For what value of a is \( \sqrt[a]{r^{42}} \) equivalent to \( r^{\frac{6}{7}} \) , where \( r>1 \)?
原库参考解析
根式与有理指数挑战
If \( \sqrt{x−1}=2 \) , what is the value of \( (x−1) \)?
原库参考解析
根式与有理指数挑战
\( \sqrt[3]{117n}(\sqrt[4]{117n})^{2} \)
For what value of x is the given expression equivalent to \( (117n)^{12x} \) where \( n>1 \)?
原库参考解析
根式与有理指数挑战
The expression \( \sqrt{x^{9k}}·\sqrt[5]{x^{13}} \) , where k is a constant and \( x>0 \), is equivalent to \( \frac{\sqrt[5]{x}}{x^{2}} \). What is the value of k?
原库参考解析
根式与有理指数挑战
If \( x=\sqrt[2n]{7x^{n}+30} \) , where n is a positive integer constant, what is the value of \( x^n \)?
原库参考解析
根式与有理指数进阶
Which expression is equivalent to \( (\sqrt[4]{p^{17}})^{−1} \), where \( p>1 \)?
参考答案
根式与有理指数挑战
What is the solution to the equation \( 5\sqrt{x-19}=\sqrt{7} \)?
参考答案
根式与有理指数挑战
\( \sqrt[5]{272n}(\sqrt[6]{272n})^{2} \)
For what value of x is the given expression equivalent to \( (272n)^{30x} \), where n > 1?
For what value of x is the given expression equivalent to \( (272n)^{30x} \), where n > 1?
参考答案
根式与有理指数进阶
If \( \sqrt{x-1}=2 \), what is the value of \( (x−1) \)?
参考答案
根式与有理指数挑战
\( \sqrt[3]{28n}(\sqrt[4]{28n})^{2} \)
For what value of x is the given expression equivalent to \( (28n)^{12x} \) , where \( n>1 \)?
For what value of x is the given expression equivalent to \( (28n)^{12x} \) , where \( n>1 \)?
参考答案
根式与有理指数挑战
\( \frac{x^{11}y^{5}}{5x^{2}·\sqrt[8]{y^{8}}} \)
For all positive values of x and y, the given expression is equivalent to which of the following?
I. \( \frac{(x^{\frac{8}{3}})(y^{\frac{5}{3}})}{3} \)
II. \( \frac{x^5y^2}{5} \)
For all positive values of x and y, the given expression is equivalent to which of the following?
I. \( \frac{(x^{\frac{8}{3}})(y^{\frac{5}{3}})}{3} \)
II. \( \frac{x^5y^2}{5} \)
参考答案
