What is $\sqrt{{(9 x - 100)}^{16}}$ $sqrt((9x-100)^16$ in simplest form?

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Answer 1 · 2018-06-11T05:43:32

${(9 x - 100)}^{8}$ $(9x-100)^8$

Expression $= \sqrt{{(9 x - 100)}^{16}}$ $= sqrt((9x-100)^16)$

$= [{(9 x - 100)}^{16})]^{\frac{1}{2}}$ $= [(9x-100)^16)]^(1/2)$

Using the law of exponents: ${[{(a)}^{m}]}^{n} = a^{m \times n}$ $[(a)^m]^n = a^(mxxn)$

Expression $= {(9 x - 100)}^{16 \times \frac{1}{2}}$ $= (9x-100)^(16xx1/2)$

$= {(9 x - 100)}^{8}$ $=(9x-100)^8$

What is √(9x−100)16sqrt((9x-100)^16 in simplest form?