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Popular >

simplify (-4x^5y^3)^3

Solution

simplify

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

Solution

- 64 x^{15} y^{9}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

(- 4 x^{5} y^{3})^{3} = - (4 x^{5} y^{3})^{3}

= - (4 x^{5} y^{3})^{3}

Apply exponent rule:

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

(4 x^{5} y^{3})^{3} = 4^{3} (x^{5})^{3} (y^{3})^{3}

= - 4^{3} (x^{5})^{3} (y^{3})^{3}

4^{3} = 64

= - 64 (x^{5})^{3} (y^{3})^{3}

Simplify

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

= - 64 x^{15} (y^{3})^{3}

Simplify

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

= - 64 x^{15} y^{9}

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x^{3} - 5 x^{2} - 9 x + 45

(3x+5)/(x^2+2x-35)>= 0

\frac{3 x + 5}{x ^{2} + 2 x - 35} \geq 0

Frequently Asked Questions (FAQ)

What is (-4x^5y^3)^3 ?
The solution to (-4x^5y^3)^3 is -64x^{15}y^9