What is sqrt(5)*\sqrt[9]{5} ?

The solution to sqrt(5)*\sqrt[9]{5} is \sqrt[18]{5^{11}}

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simplify sqrt(5)*\sqrt[9]{5}

simplify

Decimal Notation

2.67391 \dots

Solution steps

Apply radical rule:

a = a^{\frac{1}{2}}

5 = 5^{\frac{1}{2}}

Apply radical rule:

= 5^{\frac{1}{2}} \cdot 5^{\frac{1}{9}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{\frac{1}{2}} \cdot 5^{\frac{1}{9}} = 5^{\frac{1}{2} + \frac{1}{9}}

= 5^{\frac{1}{2} + \frac{1}{9}}

\frac{1}{2} + \frac{1}{9} = \frac{11}{18}

= 5^{\frac{11}{18}}

n^{4}

- x^{2} - 9 x - 18 \leq - 4

2 x^{2} - 4 x - 16

\frac{8 i}{9 - 4 i}

- 2 (x + 7)^{2} = - 162

What is sqrt(5)*\sqrt[9]{5} ?
The solution to sqrt(5)*\sqrt[9]{5} is \sqrt[18]{5^{11}}