What is the simplified form of √10,000×64 ? Answers to choose from: 5000x^64 5000x^8 100x^8 100x^32​

Question

What is the simplified form of √10,000×64 ?

Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32​

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Thiên Di 3 years 2021-09-03T08:23:59+00:00 2 Answers 18 views 0

Answers ( )

  1. minhkhoi
    0
    2021-09-03T08:25:05+00:00
    Reply

    9514 1404 393

    Answer:

      (d)  100x^32

    Step-by-step explanation:

    The applicable rules of exponents are …

      (a^b)^c = a^(bc)

      √a = a^(1/2)

    __

    Then …

      \displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}

  2. niczorrrr
    0
    2021-09-03T08:25:38+00:00
    Reply

    Answer:

    100 x ³²

    Step-by-step explanation:

    √10000 x⁶⁴

    ( 100 ⁴ × x ⁶⁴) ½

    \small \sf 10 {}^{ \frac{4}{2}} \times x {}^{ \frac{64}{2}}

    10² × x ³²

    100 x ³²

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