What is \sqrt[3]{sqrt(9\sqrt[3]{64)}} ?

The solution to \sqrt[3]{sqrt(9\sqrt[3]{64)}} is cube root of 6

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simplify \sqrt[3]{sqrt(9\sqrt[3]{64)}}

simplify

Decimal Notation

1.81712 \dots

Solution steps

Apply radical rule:

Apply exponent rule:

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

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

Multiply the numbers:

9 \cdot 4 = 36

Factor the number:

36 = 6^{2}

Apply exponent rule:

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

2200 \cdot (5^{- 0.49595})

(8 x) (3 x^{2})

4^{1 - x} 0. 8^{1 - x}

e^{- θ \cdot t} \cdot sin (wt)

ln (2) e^{- x}

What is \sqrt[3]{sqrt(9\sqrt[3]{64)}} ?
The solution to \sqrt[3]{sqrt(9\sqrt[3]{64)}} is cube root of 6