math

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

4 to the 10th over 5 to the 5th
4 to the 4th over 5
4 to the 21st over 5 to the 6th
12 to the 7th over 15 squared

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  1. multiply the exponents

    for example, (2^3)^5 = 2^(3*5) = 2^15
    why?
    2^3 = 2*2*2
    (2^3)^5 = 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2

    ^ is just shorthand for ***...
    Just as * is shorthand for +++...

    2*3*4 = 2+2+2 + 2+2+2 + 2+2+2 + 2+2+2

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