What is ((x^7*y^3*x^4)/(x^6*y^2))^2 ?

The solution to ((x^7*y^3*x^4)/(x^6*y^2))^2 is x^{10}y^2

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simplify ((x^7y^3x^4)/(x^6*y^2))^2

simplify

(\frac{x ^{7} \cdot y ^{3} \cdot x ^{4}}{x ^{6} \cdot y ^{2}})^{2}

x^{10} y^{2}

Solution steps

(\frac{x ^{7} y ^{3} x ^{4}}{x ^{6} y ^{2}})^{2}

Apply exponent rule:

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

= \frac{( x ^{7} y ^{3} x ^{4} ) ^{2}}{( x ^{6} y ^{2} ) ^{2}}

Simplify

(x^{7} y^{3} x^{4})^{2} : x^{22} y^{6}

= \frac{x ^{22} y ^{6}}{( x ^{6} y ^{2} ) ^{2}}

Simplify

(x^{6} y^{2})^{2} : x^{12} y^{4}

= \frac{x ^{22} y ^{6}}{x ^{12} y ^{4}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{22}}{x ^{12}} = x^{22 - 12}

= \frac{y ^{6} x ^{22 - 12}}{y ^{4}}

Subtract the numbers:

22 - 12 = 10

= \frac{x ^{10} y ^{6}}{y ^{4}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{y ^{6}}{y ^{4}} = y^{6 - 4}

= x^{10} y^{6 - 4}

Subtract the numbers:

6 - 4 = 2

= x^{10} y^{2}

1 + 1000 y^{3}

9 x^{2} + 3 x (x - 2)

\frac{x}{x ^{2} + 5 x + 6} - \frac{2}{x ^{2} + 3 x + 2}

\frac{1 + 2 i}{1 - 3 i}

- 5 - - 44

What is ((x^7*y^3*x^4)/(x^6*y^2))^2 ?
The solution to ((x^7*y^3*x^4)/(x^6*y^2))^2 is x^{10}y^2