HSN.RN.A.1 math practice. Learn by doing.

HSN.RN.A.1 practice covers explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 91 mapped skills
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8 free questions · 0/0 correct

Practice playeasy

Evaluate 271/327^{-1/3}.

271/3=1271/3=1327^{-1/3} = \dfrac{1}{27^{1/3}} = \dfrac{1}{3}.

Practice playeasy

Simplify: 161/216^{1/2}.

161/2=16=416^{1/2} = \sqrt{16} = 4.

Practice playeasy

Simplify: 272/327^{2/3}.

272/3=(273)2=32=927^{2/3} = (\sqrt[3]{27})^2 = 3^2 = 9.

Practice playeasy

Write x23\sqrt[3]{x^2} as xa/bx^{a/b} in lowest terms. What is aa?

x23=x2/3\sqrt[3]{x^2} = x^{2/3}, so a=2a = 2.

Practice playeasy

Simplify: 251/225^{1/2}.

251/2=25=525^{1/2} = \sqrt{25} = 5.

Practice playeasy

Simplify: 322/532^{2/5}.

322/5=(325)2=22=432^{2/5} = (\sqrt[5]{32})^2 = 2^2 = 4.

Practice playeasy

Write x35\sqrt[5]{x^3} as xa/bx^{a/b} in lowest terms. What is bb?

x35=x3/5\sqrt[5]{x^3} = x^{3/5}, so b=5b = 5.

Practice playeasy

Evaluate 491/249^{1/2}.

491/2=49=749^{1/2} = \sqrt{49} = 7.

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