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lod asked in Science & MathematicsMathematics · 4 years ago

Maths prep, need help. Multiplying indices with algebra?

Question is linked https://ibb.co/dzZERv , couldn t see anyway to figure it out. Not sure how to multiply indices that have algebra in them. Any help is appreciated

2 Answers

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  • Wayne DeguMan
    Lv 7
    4 years ago
    Favorite Answer

    (2³ˣ x 2⁴)/(2³ x 2⁴ˣ) can be re-written as:

    (2³ˣ x 2⁴)/(2⁴ˣ x 2³) => (2³ˣ/2⁴ˣ) x (2⁴/2³)

    i.e. (2⁻ˣ) x 2¹ => 2⁻ˣ⁺¹

    Now, 1/2² => 2⁻²

    so, 2⁻ˣ⁺¹ = 2⁻²

    Hence, -x + 1 = -2

    so, x = 3

    :)>

  • DWRead
    Lv 7
    4 years ago

    2³ˣ·2⁴/(2³·2⁴ˣ) = 1/2²

    2³ˣ·2⁴·(2⁻³·2⁻⁴ˣ) = 2⁻²

    2³ˣ⁺⁴⁻³⁻⁴ˣ = 2⁻²

    2¹⁻ˣ = 2⁻²

    1-x = -2

    x = 3

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