What is 4x^2sqrt(5x^4)*3sqrt(5x^8) ?

The solution to 4x^2sqrt(5x^4)*3sqrt(5x^8) is 60x^8

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simplify 4x^2sqrt(5x^4)*3sqrt(5x^8)

simplify

4 x^{2} 5 x^{4} \cdot 3 5 x^{8}

60 x^{8}

Solution steps

4 x^{2} 5 x^{4} \cdot 3 5 x^{8}

Simplify

5 x^{4} : 5 x^{2}

= 4 x^{2} 5 x^{2} \cdot 3 5 x^{8}

Simplify

5 x^{8} : 5 x^{4}

= 4 x^{2} 5 x^{2} \cdot 35 x^{4}

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 4 x^{2} \cdot 5 x^{2} \cdot 3 x^{4}

Multiply the numbers:

4 \cdot 5 \cdot 3 = 60

= 60 x^{2} x^{2} x^{4}

Apply exponent rule:

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

x^{2} x^{2} x^{4} = x^{2 + 2 + 4}

= 60 x^{2 + 2 + 4}

Add the numbers:

2 + 2 + 4 = 8

= 60 x^{8}

(2 x + 3) (4 x - 5)

\frac{4}{2}

(a - 4 b)^{2}

(x - (1 + 3 i)) (x - (1 - 3 i))

\frac{34}{7}

What is 4x^2sqrt(5x^4)*3sqrt(5x^8) ?
The solution to 4x^2sqrt(5x^4)*3sqrt(5x^8) is 60x^8