Algebraic Roots & Indices

Algebraic Roots & Indices Quiz

Spec 2.1 · Edexcel IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. What does x−3x^{-3} simplify to?

    • A. 1x3\dfrac{1}{x^3}
    • B. −x3-x^3
    • C. 13x\dfrac{1}{3x}
    • D. x3x^3

  2. 2. Simplify 8x72x3\dfrac{8x^7}{2x^3}

    • A. 4x104x^{10}
    • B. 6x46x^4
    • C. 4x44x^4
    • D. 4x24x^2

  3. 3. Simplify 45\sqrt{45} fully.

    • A. 353\sqrt{5}
    • B. 535\sqrt{3}
    • C. 959\sqrt{5}
    • D. 3153\sqrt{15}

  4. 4. What is x25x^{\frac{2}{5}} equivalent to?

    • A. x25\sqrt[5]{x^2}
    • B. x52\sqrt[2]{x^5}
    • C. 2x52\sqrt[5]{x}
    • D. x25\dfrac{x^2}{5}

  5. 5. Rationalise 63+3\dfrac{6}{3+\sqrt{3}}

    • A. 3−33-\sqrt{3}
    • B. 3+33+\sqrt{3}
    • C. 2(3−3)2(3-\sqrt{3})
    • D. 6−636\dfrac{6-6\sqrt{3}}{6}

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