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Popular >

simplify (-1/7 x^3y)^3

Solution

simplify

(- \frac{1}{7} x^{3} y)^{3}

Solution

- \frac{x ^{9} y ^{3}}{343}

Solution steps

(- \frac{1}{7} x^{3} y)^{3}

Apply exponent rule:

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

if

n

is odd

(- \frac{1}{7} x^{3} y)^{3} = - (\frac{1}{7} x^{3} y)^{3}

= - (\frac{1}{7} x^{3} y)^{3}

Apply exponent rule:

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

(\frac{1}{7} x^{3} y)^{3} = (\frac{1}{7})^{3} (x^{3})^{3} y^{3}

= - (\frac{1}{7})^{3} (x^{3})^{3} y^{3}

(\frac{1}{7})^{3} = \frac{1}{343}

= - \frac{1}{343} (x^{3})^{3} y^{3}

Simplify

(x^{3})^{3} : x^{9}

= - \frac{1}{343} x^{9} y^{3}

Simplify

\frac{1}{343} x^{9} y^{3} : \frac{x ^{9} y ^{3}}{343}

= - \frac{x ^{9} y ^{3}}{343}

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Frequently Asked Questions (FAQ)

What is (-1/7 x^3y)^3 ?
The solution to (-1/7 x^3y)^3 is -(x^9y^3)/(343)