Prove that the value of the expression (2^10+2^8)(2^5-2^3) is divisible by 60 I WILL MARK BRAINLIEST!!!!!!1 Should be written like

Question

Prove that the value of the expression (2^10+2^8)(2^5-2^3) is divisible by 60
I WILL MARK BRAINLIEST!!!!!!1
Should be written like __*60
Fill in the blank

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Thiên Hương 4 years 2021-08-18T23:56:03+00:00 1 Answers 5 views 0

Answers ( )

  1. Edana
    0
    2021-08-18T23:57:10+00:00
    Reply

    Let’s simplify it, because if we do, we can find the value and then deduce whether it is divisible by 60.

    2^10 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

    2^10 = 1,024

    2^8 = 256

    2^5 = 32

    2^3 = 8

    Substitute the expressions in the equation for their values…

    (1,024+256)(32-8)

    Simplify…

    (1,280)(24)

    Simplify…

    30,720

    Now, divide it by 60…

    512 * 60 = 30,720

    512*60=(2^10+2^8)(2^5-2^3)

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