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5 May, 06:40

Represent the following expressions as a power of the number a (a≠0) ((a^2) ^-2) ^5: (a^4a) ^3

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  1. 5 May, 10:15
    0
    a⁻³⁵

    Step-by-step explanation:

    ((a²) ⁻²) ⁵ : (a⁴a) ³

    ((a²) ⁻²) ⁵ : (a⁴a¹) ³

    = (a⁻⁴) ⁵ : (a⁵) ³

    = a⁻²⁰ : a¹⁵

    = a⁻²⁰⁻¹⁵

    = a⁻³⁵

    Exponent rules:

    Multiplying two numbers with same base: add exponents

    Dividing two numbers with same base: subtract exponents

    Number with exponent raised to another exponent: multiply the exponents together
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