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
\( \sqrt[5]{p^{2}}=t^{\frac{3}{4}} \)
In the given equation, p > 1 and t > 1. If t = p2n-1, where n is a constant, what is the value of n?
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根式与有理指数进阶
\( \sqrt{w}+22=28 \)
What is the solution to the given equation?
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根式与有理指数挑战
Which expression is equivalent to \( \sqrt[10]{x^{9}y^{9}} \) , where x and y are positive?
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根式与有理指数挑战
\( f\left(x\right)=\sqrt{3x+8} \)
The function \( f \) is defined by the given equation. If \( f\left(a\right)=-9a \) , where a is a constant, what is the value of a?
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根式与有理指数挑战
\( \sqrt[7]{p^{4}}=t^{\frac{5}{6}} \)
In the given equation, \( p>1 \) and \( t>1 \) . If \( t=p^{2n-1} \) , where n is a constant, what is the value of n?
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根式与有理指数进阶
Which expression is equivalent to \( \left(133y\right)^{\frac{1}{2}} \), where \( y>1 \)?
原库参考解析
根式与有理指数挑战
\( \sqrt[7]{p^{3}}=\sqrt[4]{t^{5}} \)
In the given equation, \( p>1 \) and \( t>1 \) . If \( t=p^{2n-1} \) , where n is a constant, what is the value of n?
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根式与有理指数挑战
\( \sqrt{\left(x+23\right)^2}=x+23 \)
What is the least value of x that is a solution to the given equation?
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根式与有理指数进阶
\( f\left(x\right)=\sqrt{6x+7} \)
The function \( f \) is defined by the given equation. If \( f\left(a\right)=-9a \) , where a is a constant. What is the value of a?
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根式与有理指数挑战
Which expression is equivalent to\( \left(57y\right)^{\frac{1}{2}} \), where \( y>1 \) ?
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根式与有理指数挑战
Which expression is equivalent to \( ((7\surd 3)t)^{\frac{7}{8}} \) Where \( t>0 \)?
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根式与有理指数挑战
\( \sqrt{k-x}=42-x \)
In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?
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