What is 5\sqrt[4]{64}*2\sqrt[4]{8} ?

The solution to 5\sqrt[4]{64}*2\sqrt[4]{8} is 40\sqrt[4]{2}

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simplify 5\sqrt[4]{64}*2\sqrt[4]{8}

simplify

Decimal Notation

47.56828 \dots

Solution steps

Apply radical rule:

Multiply the numbers:

4 \cdot 8 = 32

Prime factorization of

32 : 2^{5}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

Apply radical rule:

Multiply the numbers:

5 \cdot 2 \cdot 2 \cdot 2 = 40

- 9 m^{- 2} n^{5} \cdot 2 m^{- 3} n^{- 6}

9 x^{2} + 16 = 0

(3 x + 10)^{2} = 3 (x + 10)

9 x + 254 \geq 14

6 (3 n - 9) + 45 = 12 - 4 (9 - 2 n)

What is 5\sqrt[4]{64}*2\sqrt[4]{8} ?
The solution to 5\sqrt[4]{64}*2\sqrt[4]{8} is 40\sqrt[4]{2}