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Popular >

simplify (-3xy^5)^3

Solution

simplify

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

Solution

- 27 x^{3} y^{15}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

3^{3} = 27

= - 27 x^{3} (y^{5})^{3}

Simplify

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

= - 27 x^{3} y^{15}

Popular Examples

factor y^2-18y+77 factor

y^{2} - 18 y + 77

factor sqrt(-x^2+y^2)factor

- x^{2} + y^{2}

x^{2} - 7 x - 9 = 0

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- \frac{1}{12} - (- \frac{3}{8})

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\frac{14 x ^{4} y ^{3}}{21 x ^{8} y ^{5}}

Frequently Asked Questions (FAQ)

What is (-3xy^5)^3 ?
The solution to (-3xy^5)^3 is -27x^3y^{15}