What is (5.196)^2((4.500026+1.5)/2)^{-3} ?

The solution to (5.196)^2((4.500026+1.5)/2)^{-3} is 0.99992…

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simplify (5.196)^2((4.500026+1.5)/2)^{-3}

simplify

(5.196)^{2} (\frac{4.500026 + 1.5}{2})^{- 3}

0.99992 \dots

Solution steps

(5.196)^{2} (\frac{4.500026 + 1.5}{2})^{- 3}

Apply exponent rule:

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

= 5.19 6^{2} \cdot \frac{1}{( \frac{1.5 + 4.500026}{2} ) ^{3}}

\frac{1}{( \frac{4.500026 + 1.5}{2} ) ^{3}} = \frac{2 ^{3}}{6.00002 6 ^{3}}

= 5.19 6^{2} \cdot \frac{2 ^{3}}{6.00002 6 ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{3} \cdot 5.19 6 ^{2}}{6.00002 6 ^{3}}

2^{3} \cdot 5.19 6^{2} = 215.987328

= \frac{215.987328}{6.00002 6 ^{3}}

6.00002 6^{3} = 216.00280 \dots

= \frac{215.987328}{216.00280 \dots}

Divide the numbers:

\frac{215.987328}{216.00280 \dots} = 0.99992 \dots

= 0.99992 \dots

\frac{( cos ( x ) ) ^{2}}{( cot ( x ) ) ^{2}}

e^{- 9.156}

- 2 (14)^{2}

0.22 \cdot 1843 (1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{- 0.5}

(2.45 \cdot 1 1^{- 11}) 0.53

What is (5.196)^2((4.500026+1.5)/2)^{-3} ?
The solution to (5.196)^2((4.500026+1.5)/2)^{-3} is 0.99992…