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Exponent Rules

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Wize High School Grade 12 Pre-Calculus Textbook > Exponential Functions

Exponent Rules

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Wize High School Grade 11 Math Textbook > Exponential Functions

Exponent Rules

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Wize High School Algebra II Textbook (Common Core) > Exponential Functions

Exponent Rules

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Practice: Exponent Rules

True or false: 27x+27x+27x=33x+627^x+27^x+27^x=3^{3x+6}
More Exponent Rules Questions:
Simplifying Exponential Expressions
Simplify (72ab(2a+b)32a−3b)\Bigg(\dfrac{72^{ab}(2^{a+b})}{3^{2a-3b}}\Bigg)
Exponent Rules
Practice: Exponent Rules
True or false: 1252x+1252x+1252x+1252x+1252x=56x+1125^{2x}+125^{2x}+125^{2x}+125^{2x}+125^{2x}=5^{6x+1}
Exponent Rules
Practice: Exponent Rules
If x=19x=\dfrac{1}{9} and y=27y=27, simplify the expression (x−1/2y1/3)−1(x2y2/3)(x^{-1/2}y^{1/3})^{-1}(x^2y^{2/3}). Leave all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((9x1/5y−2/7)(6x−2/5y1/7)(81x4/3)(−36x4/5y3/2))\Bigg(\dfrac{(9x^{1/5}y^{-2/7})(6x^{-2/5}y^{1/7})}{(81x^{4/3})(-36x^{4/5}y^{3/2})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((3a−2/3b−4/5)(25a4/3b−1/2)(81a5/6b4/3)(5a5/2b−1/5))\Bigg(\dfrac{(3a^{-2/3}b^{-4/5})(25a^{4/3}b^{-1/2})}{(81a^{5/6}b^{4/3})(5a^{5/2}b^{-1/5})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Evaluate (343125)−13×(648)23\Bigg(\dfrac{343}{125}\Bigg)^{-\frac{1}{3}}\times{}\Bigg(\dfrac{64}{8}\Bigg)^{\frac{2}{3}}. Leave answer in exact form.
Exponent Rules
Practice: Exponent Rules
Evaluate (649)−52÷(48416)12\Bigg(\dfrac{64}{9}\Bigg)^{-\frac{5}{2}}\div{}\Bigg(\dfrac{484}{16}\Bigg)^{\frac{1}{2}}. Leave answer in exact form.
More Exponent Rules Questions:
Simplifying Exponential Expressions
Simplify (72ab(2a+b)32a−3b)\Bigg(\dfrac{72^{ab}(2^{a+b})}{3^{2a-3b}}\Bigg)
Exponent Rules
Practice: Exponent Rules
True or false: 1252x+1252x+1252x+1252x+1252x=56x+1125^{2x}+125^{2x}+125^{2x}+125^{2x}+125^{2x}=5^{6x+1}
Exponent Rules
Practice: Exponent Rules
If x=19x=\dfrac{1}{9} and y=27y=27, simplify the expression (x−1/2y1/3)−1(x2y2/3)(x^{-1/2}y^{1/3})^{-1}(x^2y^{2/3}). Leave all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((9x1/5y−2/7)(6x−2/5y1/7)(81x4/3)(−36x4/5y3/2))\Bigg(\dfrac{(9x^{1/5}y^{-2/7})(6x^{-2/5}y^{1/7})}{(81x^{4/3})(-36x^{4/5}y^{3/2})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((3a−2/3b−4/5)(25a4/3b−1/2)(81a5/6b4/3)(5a5/2b−1/5))\Bigg(\dfrac{(3a^{-2/3}b^{-4/5})(25a^{4/3}b^{-1/2})}{(81a^{5/6}b^{4/3})(5a^{5/2}b^{-1/5})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Evaluate (343125)−13×(648)23\Bigg(\dfrac{343}{125}\Bigg)^{-\frac{1}{3}}\times{}\Bigg(\dfrac{64}{8}\Bigg)^{\frac{2}{3}}. Leave answer in exact form.
Exponent Rules
Practice: Exponent Rules
Evaluate (649)−52÷(48416)12\Bigg(\dfrac{64}{9}\Bigg)^{-\frac{5}{2}}\div{}\Bigg(\dfrac{484}{16}\Bigg)^{\frac{1}{2}}. Leave answer in exact form.
More Exponent Rules Questions:
Simplifying Exponential Expressions
Simplify (72ab(2a+b)32a−3b)\Bigg(\dfrac{72^{ab}(2^{a+b})}{3^{2a-3b}}\Bigg)
Exponent Rules
Practice: Exponent Rules
True or false: 1252x+1252x+1252x+1252x+1252x=56x+1125^{2x}+125^{2x}+125^{2x}+125^{2x}+125^{2x}=5^{6x+1}
Exponent Rules
Practice: Exponent Rules
If x=19x=\dfrac{1}{9} and y=27y=27, simplify the expression (x−1/2y1/3)−1(x2y2/3)(x^{-1/2}y^{1/3})^{-1}(x^2y^{2/3}). Leave all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((9x1/5y−2/7)(6x−2/5y1/7)(81x4/3)(−36x4/5y3/2))\Bigg(\dfrac{(9x^{1/5}y^{-2/7})(6x^{-2/5}y^{1/7})}{(81x^{4/3})(-36x^{4/5}y^{3/2})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Simplify ((3a−2/3b−4/5)(25a4/3b−1/2)(81a5/6b4/3)(5a5/2b−1/5))\Bigg(\dfrac{(3a^{-2/3}b^{-4/5})(25a^{4/3}b^{-1/2})}{(81a^{5/6}b^{4/3})(5a^{5/2}b^{-1/5})}\Bigg). Make all exponents positive.
Exponent Rules
Practice: Exponent Rules
Evaluate (343125)−13×(648)23\Bigg(\dfrac{343}{125}\Bigg)^{-\frac{1}{3}}\times{}\Bigg(\dfrac{64}{8}\Bigg)^{\frac{2}{3}}. Leave answer in exact form.
Exponent Rules
Practice: Exponent Rules
Evaluate (649)−52÷(48416)12\Bigg(\dfrac{64}{9}\Bigg)^{-\frac{5}{2}}\div{}\Bigg(\dfrac{484}{16}\Bigg)^{\frac{1}{2}}. Leave answer in exact form.