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Skill: equivalent_expressions
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_443 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[8]{21r}(\sqrt[4]{21r})^3\) equivalent to \((21r)^{16x}\)? | |
| math_adv_442 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[7]{13q}(\sqrt[2]{13q})^1\) equivalent to \((13q)^{9x}\)? | |
| math_adv_441 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[5]{7z}(\sqrt[10]{7z})^2\) equivalent to \((7z)^{12x}\)? | |
| math_adv_440 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[3]{5p}(\sqrt[9]{5p})^2\) equivalent to \((5p)^{18x}\)? | |
| math_adv_439 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[4]{16t}(\sqrt[6]{16t})^1\) equivalent to \((16t)^{8x}\)? | |
| math_adv_438 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[6]{11y}(\sqrt[3]{11y})^1\) equivalent to \((11y)^{15x}\)? | |
| math_adv_437 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[2]{30a}(\sqrt[5]{30a})^1\) equivalent to \((30a)^{14x}\)? | |
| math_adv_436 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[4]{9x}(\sqrt[8]{9x})^2\) equivalent to \((9x)^{12x}\)? | |
| math_adv_435 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[5]{12m}(\sqrt[6]{12m})^3\) equivalent to \((12m)^{20x}\)? | |
| math_adv_434 | Math | advanced_math | equivalent_expressions | Hard | For what value of \(x\) is \(\sqrt[3]{18n}(\sqrt[4]{18n})^2\) equivalent to \((18n)^{10x}\)? |