What is 7^{sqrt(2)}*2^{-2sqrt(2)} ?

The solution to 7^{sqrt(2)}*2^{-2sqrt(2)} is 7^{sqrt(2)}*1/(4^{sqrt(2))}

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simplify 7^{sqrt(2)}*2^{-2sqrt(2)}

simplify

7^{2} \cdot 2^{- 22}

7^{2} \cdot \frac{1}{4 ^{2}}

Decimal Notation

2.20651 \dots

Solution steps

7^{2} \cdot 2^{- 22}

Apply exponent rule:

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

2^{- 22} = \frac{1}{2 ^{22}}

= 7^{2} \cdot \frac{1}{2 ^{22}}

2^{22} = 4^{2}

= 7^{2} \cdot \frac{1}{4 ^{2}}

e^{- x} \cdot cos (x)

(t^{2} - 2 t) \cdot (3 e^{- t})

(e^{- \frac{x}{8}})^{2}

(95) (35)

(4 a^{2}) (9 a)

What is 7^{sqrt(2)}*2^{-2sqrt(2)} ?
The solution to 7^{sqrt(2)}*2^{-2sqrt(2)} is 7^{sqrt(2)}*1/(4^{sqrt(2))}