Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$${ 2 }^{ \frac{ 6 }{ ( { 2 }^{ 2 } \times { 2 }^{ 3) } } }$$

Answer

$$2^(3/16)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{2}^{\frac{6}{{2}^{5}}}\]
Simplify  \({2}^{5}\)  to  \(32\).
\[{2}^{\frac{6}{32}}\]
Simplify  \(\frac{6}{32}\)  to  \(\frac{3}{16}\).
\[{2}^{\frac{3}{16}}\]

Decimal Form: 1.138789

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