Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Simplify x−3y4⋅x2y−1x^{-3}y^4 \cdot x^2y^{-1}x−3y4⋅x2y−1
Simplify 23⋅2−52−1\frac{2^3 \cdot 2^{-5}}{2^{-1}}2−123⋅2−5
Simplify (y−2z3)2(y^{-2}z^3)^2(y−2z3)2
Simplify x3y−2x−1y3\frac{x^3y^{-2}}{x^{-1}y^3}x−1y3x3y−2
Simplify (a2b−1)−3(a^2b^{-1})^{-3}(a2b−1)−3
Simplify x4x−2\sqrt{\frac{x^4}{x^{-2}}}x−2x4
Simplify (x−1/2y3/2)2(x^{-1/2}y^{3/2})^2(x−1/2y3/2)2
Simplify (2x−3)2⋅x42−1x−2\frac{(2x^{-3})^2 \cdot x^4}{2^{-1}x^{-2}}2−1x−2(2x−3)2⋅x4
Simplify (3x2y−39x−1y2)−2\bigl(\tfrac{3x^2y^{-3}}{9x^{-1}y^2}\bigr)^{-2}(9x−1y23x2y−3)−2
Simplify (xy2z⋅x−2y2z)−1/6⋅xy⋅(z−2xy)−1/2(x−2y4)3\displaystyle\frac{(xy^2z\cdot x^{-2}y^2z)^{-1/6}\cdot xy\cdot(z^{-2}xy)^{-1/2}}{(x^{-2}y^4)^3}(x−2y4)3(xy2z⋅x−2y2z)−1/6⋅xy⋅(z−2xy)−1/2
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Question Type 2: Rewriting equations using rational exponents
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Question Type 4: Using laws of logarithms