What is 2(48/3)^{-1/4} ?

The solution to 2(48/3)^{-1/4} is 1

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simplify 2(48/3)^{-1/4}

simplify

2 (\frac{48}{3})^{- \frac{1}{4}}

1

Solution steps

2 (\frac{48}{3})^{- \frac{1}{4}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{48}{3})^{- \frac{1}{4}} = \frac{1}{( \frac{48}{3} ) ^{\frac{1}{4}}}

= 2 \cdot \frac{1}{( \frac{48}{3} ) ^{\frac{1}{4}}}

(\frac{48}{3})^{\frac{1}{4}} = 2

= 2 \cdot \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{1}{2}

Cross-cancel common factor:

2

= 1

- 5 p + 15 > 5

(3 x - 1) (10 x + 4) \geq (6 x - 5) (5 x - 7)

- x^{2} - x + 42

7 (5 w - 3) = - 36 (2 - w)

10 m^{5} + 5 m^{4} - 25 m^{2}