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anzhelika [568]
2 years ago
9

Simplify the rational exponent expression as a radical expression.

Mathematics
2 answers:
crimeas [40]2 years ago
4 0

\begin{array}{llll} \textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \end{array} ~\hfill \begin{array}{llll} \textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\left(729x^3y^{-18} \right)^{\frac{1}{6}}\implies \left(3^6x^3y^{-18} \right)^{\frac{1}{6}}\implies \left(3^{6\cdot \frac{1}{6}}x^{3\cdot \frac{1}{6}}y^{-18\cdot \frac{1}{6}} \right) \\\\\\ 3^1x^{\frac{1}{2}}y^{-3}\implies 3\sqrt[2]{x^1}\cfrac{1}{y^3}\implies \cfrac{3\sqrt{x}}{y^3}

Reika [66]2 years ago
4 0

Answer:

3√x/y^3

Step-by-step explanation:

(726x^3y^-18)^1/6

729^1/6*√x*y^-3

3√x/y^3

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?.?.?.?.??.?..?.?.???..?..?
Mice21 [21]

Answer:

82

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

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Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample
steposvetlana [31]

Answer:

approximately 27 grams

Work Shown:

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y = A*(0.5)^(x/H)

where,

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