Mathematics: Simplify the expression to the lowest terms: (〖√(10^2−4^3 )〗^ −3^2 )

Simplify the expression to the lowest terms: (〖√(10^2−4^3

Ответ:

harlon852

11.01.2022

It should be $\sqrt{\frac{1}{216} }$ or $\frac{1}{6\sqrt{6} }$ (they're both the same thing, one is just more simplified than the other) unless I misread the question somehow.

Step-by-step explanation:

Simplify

$(\sqrt{10^2-4^3} )^{\frac{-3}{2} }$

$\sqrt{100-64} ^{\frac{-3}{2} }$

$\sqrt{36} ^\frac{-3}{2}$

$(6)^\frac{-3}{2}$

Now, using the fractional exponent rule, we know this is the same as:

$\sqrt{6^{-3} }$

$\sqrt{\frac{1}{216} }$

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Ответ:

jadabugs8187

07.10.2021

Mathematics

Factors of 3: -3, 3, -1, 1
Factors of 27: -1, 1, -3, 3, -9, 9, -27, 27

Possible rational roots: -1/3, 1/3, 1, -1, 3/1, -3/1, 9/1, -9/1, -27/1, 27/1

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Simplify the expression to the lowest terms: (〖√(10^2−4^3 )〗^ −3^2 )

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