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Popular >

simplify (-x^2y^3m)^5

Solution

simplify

(- x^{2} y^{3} m)^{5}

Solution

- x^{10} y^{15} m^{5}

Solution steps

(- x^{2} y^{3} m)^{5}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- x^{2} y^{3} m)^{5} = - (x^{2} y^{3} m)^{5}

= - (x^{2} y^{3} m)^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x^{2} y^{3} m)^{5} = (x^{2})^{5} (y^{3})^{5} m^{5}

= - (x^{2})^{5} (y^{3})^{5} m^{5}

Simplify

(x^{2})^{5} : x^{10}

= - x^{10} (y^{3})^{5} m^{5}

Simplify

(y^{3})^{5} : y^{15}

= - x^{10} y^{15} m^{5}

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Frequently Asked Questions (FAQ)

What is (-x^2y^3m)^5 ?
The solution to (-x^2y^3m)^5 is -x^{10}y^{15}m^5