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

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simplify (1 1/2)^4

Solution

simplify

(1 \frac{1}{2})^{4}

5 \frac{1}{16}

Decimal Notation

5.0625

Solution steps

(1 \frac{1}{2})^{4}

Convert mixed numbers to improper fractions:

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

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

Apply exponent rule:

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

= \frac{3 ^{4}}{2 ^{4}}

3^{4} = 81

= \frac{81}{2 ^{4}}

2^{4} = 16

= \frac{81}{16}

Convert improper fractions to mixed numbers:

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

= 5 \frac{1}{16}

- 2 x^{2} + 28 x - 96 = 0

12 x^{2} - 4 x y + 9 x y - 3 y^{2}

x^{3} - y^{3}

4 x = 4 x + 8

2 x + 1 < 3