What is (sqrt(20))^3 ?

The solution to (sqrt(20))^3 is 40sqrt(5)

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simplify (sqrt(20))^3

simplify

(20)^{3}

405

Decimal Notation

89.44271 \dots

Solution steps

(20)^{3}

Apply exponent rule:

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

(20)^{2 + 1} = (20)^{2} 20

= (20)^{2} 20

Apply exponent rule:

(20)^{2} = 20

= 2020

Prime factorization of

20 : 2^{2} \cdot 5

= 20 2^{2} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 5 = 2^{2} 5

= 20 2^{2} 5

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 20 \cdot 25

Multiply the numbers:

20 \cdot 2 = 40

= 405

e^{- 2 t} (2 e^{2 t} t - e^{2 t} + C)

a^{2} x b^{2}

e^{- \frac{t}{2}}

1.1 \times 1 0^{- 3}

34^{2}