What is (5 1/16)^{1/4} ?

The solution to (5 1/16)^{1/4} is 1 1/2

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simplify (5 1/16)^{1/4}

simplify

(5 \frac{1}{16})^{\frac{1}{4}}

1 \frac{1}{2}

Decimal Notation

1.5

Solution steps

(5 \frac{1}{16})^{\frac{1}{4}}

Convert mixed numbers to improper fractions:

5 \frac{1}{16} = \frac{81}{16}

= (\frac{81}{16})^{\frac{1}{4}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{8 1 ^{\frac{1}{4}}}{1 6 ^{\frac{1}{4}}}

8 1^{\frac{1}{4}} = 3

= \frac{3}{1 6 ^{\frac{1}{4}}}

1 6^{\frac{1}{4}} = 2

= \frac{3}{2}

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

= 1 \frac{1}{2}

9 x^{3} - 7 x - 2

- 2 x^{2} + 16 x - 14 = 0

15 = \frac{7}{5} (4 x + 15)

- 1 \leq \frac{3 x - 7}{2} \leq 14

(x + h)^{- \frac{1}{2}}