What is (1/(sqrt(2)))((sqrt(2))^7) ?

The solution to (1/(sqrt(2)))((sqrt(2))^7) is 8

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simplify (1/(sqrt(2)))((sqrt(2))^7)

simplify

(\frac{1}{2}) ((2)^{7})

8

Solution steps

(\frac{1}{2}) ((2)^{7})

(\frac{1}{2}) ((2)^{7}) = \frac{1}{2} (2)^{7}

= \frac{1}{2} (2)^{7}

(2)^{7} = 82

= \frac{1}{2} \cdot 82

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} \cdot 8

Cross-cancel common factor:

2

= 1 \cdot 8

Multiply the numbers:

1 \cdot 8 = 8

= 8

8 - (2 a + 7) = a + 40

2 (2 z + 5) = 50

\frac{x + 1}{3} = \frac{x + 2}{5}

2 x + 3 < 5

\frac{x + 31}{2} \geq \frac{31 x}{31 + x}

What is (1/(sqrt(2)))((sqrt(2))^7) ?
The solution to (1/(sqrt(2)))((sqrt(2))^7) is 8