What is (\sqrt[3]{sqrt(\sqrt[5]{x^{0.5)}}})^{120} ?

The solution to (\sqrt[3]{sqrt(\sqrt[5]{x^{0.5)}}})^{120} is x^2

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simplify (\sqrt[3]{sqrt(\sqrt[5]{x^{0.5)}}})^{120}

simplify

x^{2}

Solution steps

Rewrite

120

3 \cdot 40

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Rewrite

40

2 \cdot 20

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Rewrite

20

5 \cdot 4

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

= (x^{0.5})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{0.5 \cdot 4}

Multiply the numbers:

0.5 \cdot 4 = 2

= x^{2}

(22) 2

400 e^{- 0.032 (4)}

t \cdot e^{- s \cdot t}

x^{8}

\frac{\frac{5}{3}}{\frac{2}{3}}

What is (\sqrt[3]{sqrt(\sqrt[5]{x^{0.5)}}})^{120} ?
The solution to (\sqrt[3]{sqrt(\sqrt[5]{x^{0.5)}}})^{120} is x^2