Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Simplify the expression (2m3n−1)2×(4m−2n4)(2m^3 n^{-1})^2 \times (4m^{-2} n^4)(2m3n−1)2×(4m−2n4).
Simplify the expression p−3q2p2q−4\displaystyle \frac{p^{-3} q^2}{p^2 q^{-4}}p2q−4p−3q2.
Simplify the expression (2a3b2)2×(3a−1b4)3(6a4b)−1\displaystyle \frac{(2a^3 b^2)^2 \times (3a^{-1} b^4)^3}{(6a^4 b)^{-1}}(6a4b)−1(2a3b2)2×(3a−1b4)3.
Simplify the expression
Simplify the expression 5x−3y2×x4y−510x2y−1\displaystyle \frac{5x^{-3}y^2 \times x^4 y^{-5}}{10 x^2 y^{-1}}10x2y−15x−3y2×x4y−5.
Simplify the expression (x2y)3×x−4y2(xy3)−2\displaystyle \frac{(x^2 y)^3 \times x^{-4} y^2}{(x y^3)^{-2}}(xy3)−2(x2y)3×x−4y2.
Simplify the expression (3u2v−16u−3v2)−2\displaystyle \biggl(\frac{3u^2 v^{-1}}{6u^{-3} v^2}\biggr)^{-2}(6u−3v23u2v−1)−2.
Simplify the expression (p2q−3r)3(p−1q2r−2)2\displaystyle \frac{(p^2 q^{-3} r)^3}{(p^{-1} q^2 r^{-2})^2}(p−1q2r−2)2(p2q−3r)3.
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Question Type 1: Applying exponents rules to simplify basic expressions
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Question Type 3: Rewriting expressions to apply exponents rules