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Simplify (i) (-4)^5 xx (-4)^(-10) (i...

Simplify
(i) `(-4)^5 xx (-4)^(-10)`
(ii) `2^5 -: 2^(-6)`

Text Solution

AI Generated Solution

Let's simplify the given expressions step by step. ### Part (i): Simplify `(-4)^5 × (-4)^(-10)` 1. **Identify the Base and Exponents**: The base is `-4`, and the exponents are `5` and `-10`. 2. **Apply the Exponent Multiplication Rule**: According to the rule \( a^m \times a^n = a^{m+n} \), we can add the exponents since the bases are the same. \[ ...
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Knowledge Check

  • Simplify: (i) (2 ^(-1) xx 5 ^(-1)) ^(-1) div 4 ^(-1) (ii) (4 ^(-1)+ 8 ^(-1)) div ((2)/(3)) ^(-1)

    A
    `40 , " " 1/4`
    B
    `50 , " " 1/5`
    C
    `45 , " " 3/4`
    D
    `48 , " " 1/8`
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