What is (4^{(m+1)/4}*sqrt(22^m)2sqrt(2^{-m)})^1m ?

The solution to (4^{(m+1)/4}*sqrt(22^m)2sqrt(2^{-m)})^1m is 11^{m/2}*2^{(m+3)/2}m

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simplify (4^{(m+1)/4}*sqrt(22^m)2sqrt(2^{-m)})^1m

simplify

(4^{\frac{m + 1}{4}} \cdot 2 2^{m} 2 2^{- m})^{1} m

1 1^{\frac{m}{2}} \cdot 2^{\frac{m + 3}{2}} m

Solution steps

(4^{\frac{m + 1}{4}} 2 2^{m} \cdot 2 2^{- m})^{1} m

Apply exponent rule:

a^{1} = a

(4^{\frac{m + 1}{4}} 2 2^{m} \cdot 2 2^{- m})^{1} = 4^{\frac{m + 1}{4}} 2 2^{m} \cdot 2 2^{- m}

= 4^{\frac{m + 1}{4}} 2 2^{m} \cdot 2 2^{- m} m

Simplify

4^{\frac{m + 1}{4}} 2 2^{m} \cdot 2 2^{- m} : 1 1^{\frac{m}{2}} \cdot 2^{\frac{m + 1}{2} + 1}

= 1 1^{\frac{m}{2}} \cdot 2^{\frac{m + 1}{2} + 1} m

Join

\frac{m + 1}{2} + 1 : \frac{m + 3}{2}

= 1 1^{\frac{m}{2}} \cdot 2^{\frac{m + 3}{2}} m

a (- 3.7) e b (0.4)

2^{x} + 2^{x} + 3

\frac{( \frac{1}{9} x ) ^{2} - 2}{3 x - 1}

\frac{( 36 x ^{4} + 30 x ^{3} + 36 x ^{2} )}{( 6 x ^{3} )}

t^{2} - e^{- 2} t + cosh^{2} (t)

What is (4^{(m+1)/4}*sqrt(22^m)2sqrt(2^{-m)})^1m ?
The solution to (4^{(m+1)/4}*sqrt(22^m)2sqrt(2^{-m)})^1m is 11^{m/2}*2^{(m+3)/2}m