What is (3^4*27*64)/(2^4*2*2^3) ?

The solution to (3^4*27*64)/(2^4*2*2^3) is 2187/4

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simplify (3^42764)/(2^422^3)

simplify

\frac{3 ^{4} \cdot 27 \cdot 64}{2 ^{4} \cdot 2 \cdot 2 ^{3}}

\frac{2187}{4}

Decimal Notation

546.75

Solution steps

\frac{3 ^{4} \cdot 27 \cdot 64}{2 ^{4} \cdot 2 \cdot 2 ^{3}}

Factor the number:

64 = 2 \cdot 32

= \frac{3 ^{4} \cdot 27 \cdot 2 \cdot 32}{2 ^{4} \cdot 2 \cdot 2 ^{3}}

Cancel the common factor:

2

= \frac{3 ^{4} \cdot 27 \cdot 32}{2 ^{4} \cdot 2 ^{3}}

Factor the number:

32 = 2^{5}

= \frac{3 ^{4} \cdot 27 \cdot 2 ^{5}}{2 ^{4} \cdot 2 ^{3}}

\frac{2 ^{5}}{2 ^{4}} = 2

= \frac{3 ^{4} \cdot 27 \cdot 2}{2 ^{3}}

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

= \frac{3 ^{4} \cdot 27}{2 ^{2}}

\frac{3 ^{4} \cdot 27}{2 ^{2}} = \frac{2187}{4}

= \frac{2187}{4}

4 x - 2 (x + 1) = 6

(\frac{1}{C} + \frac{1}{3 \cdot ( \frac{1}{C} + \frac{1}{C} ) ^{- 1}})^{- 1}

3 x + 8 = 2 x + 24

\frac{5}{3} = \frac{t}{6}

t - 12 = - 4

What is (3^4*27*64)/(2^4*2*2^3) ?
The solution to (3^4*27*64)/(2^4*2*2^3) is 2187/4