What is (sqrt(\sqrt{\sqrt{1.2)}})^{16} ?

The solution to (sqrt(\sqrt{\sqrt{1.2)}})^{16} is 1.44

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simplify (sqrt(\sqrt{\sqrt{1.2)}})^{16}

simplify

(1.2)^{16}

1.44

Solution steps

(1.2)^{16}

Rewrite

16

2 \cdot 8

= (1.2)^{2 \cdot 8}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(1.2)^{2 \cdot 8} = (1.2)^{2}^{8}

= (1.2)^{2}^{8}

Apply exponent rule:

(1.2)^{2} = 1.2

= (1.2)^{8}

Rewrite

8

2 \cdot 4

= (1.2)^{2 \cdot 4}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(1.2)^{2 \cdot 4} = ((1.2)^{2})^{4}

= ((1.2)^{2})^{4}

Apply exponent rule:

(1.2)^{2} = 1.2

= (1.2)^{4}

Rewrite

4

2 \cdot 2

= (1.2)^{2 \cdot 2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(1.2)^{2 \cdot 2} = ((1.2)^{2})^{2}

= ((1.2)^{2})^{2}

Apply exponent rule:

(1.2)^{2} = 1.2

= 1. 2^{2}

1. 2^{2} = 1.44

= 1.44

- e^{- 7}

(x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}^{2}

(e^{- 4 x}) (2 e^{2 x})

What is (sqrt(\sqrt{\sqrt{1.2)}})^{16} ?
The solution to (sqrt(\sqrt{\sqrt{1.2)}})^{16} is 1.44