Question

\frac{\left(-6x^{2}y^{3}\right)^{4}}{8x^{9}y^{7}\cdot3xy^{5}}

Answer 1

• 54/x²

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Simplify the expression in below steps:

`\cfrac{\left(-6x^(2)y^(3)\right)^(4)}{8x^(9)y^(7)\cdot3xy^(5)}=` Power of power and product of exponents rules

`\cfrac{\left6^4x^(2\cdot4)y^(3\cdot4)\right}{(8\cdot3)x^(9+1)y^(5+7)}=` Multiply or add up powers

`\cfrac{\left2^43^4x^8y^(12)\right}{(2^3\cdot3)x^(10)y^(12)}=` Subtract powers or cancel same terms

`\cfrac{\left2\cdot3^3\right}{x^2}}=` Simplify

`54/x^2` Answer