What is x^3ysqrt(25x^7y^3) ?

The solution to x^3ysqrt(25x^7y^3) is 5x^6y^2sqrt(x)sqrt(y)

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simplify x^3ysqrt(25x^7y^3)

simplify

x^{3} y 25 x^{7} y^{3}

5 x^{6} y^{2} x y

Solution steps

x^{3} y 25 x^{7} y^{3}

Simplify

25 x^{7} y^{3} : 5 x^{3} x y y

= x^{3} y \cdot 5 x^{3} x y y

Apply exponent rule:

aa = a^{2}

yy = y^{2}

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

Simplify

x^{3} x^{3} : x^{6}

= x^{6} y^{2} \cdot 5 x y

= 5 x^{6} y^{2} x y

\frac{7}{3} \div 3

\frac{4}{x} + \frac{6}{7 x}

10 \times 15

2 x^{3} + 3 x^{2} + 18 x + 27

9 \times \frac{1}{9}

What is x^3ysqrt(25x^7y^3) ?
The solution to x^3ysqrt(25x^7y^3) is 5x^6y^2sqrt(x)sqrt(y)