What is (-2xy^2)^5((x^7)/(8y^3)) ?

The solution to (-2xy^2)^5((x^7)/(8y^3)) is -4x^{12}y^7

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simplify (-2xy^2)^5((x^7)/(8y^3))

simplify

(- 2 x y^{2})^{5} (\frac{x ^{7}}{8 y ^{3}})

- 4 x^{12} y^{7}

Solution steps

(- 2 x y^{2})^{5} (\frac{x ^{7}}{8 y ^{3}})

Apply rule:

(a) = a

(\frac{x ^{7}}{8 y ^{3}}) = \frac{x ^{7}}{8 y ^{3}}

= (- 2 x y^{2})^{5} \frac{x ^{7}}{8 y ^{3}}

Simplify

(- 2 x y^{2})^{5} : - 32 x^{5} y^{10}

= - 32 x^{5} y^{10} \frac{x ^{7}}{8 y ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{32 x ^{5} y ^{10} x ^{7}}{8 y ^{3}}

Factor the number:

32 = 8 \cdot 4

= - \frac{8 \cdot 4 x ^{5} y ^{10} x ^{7}}{8 y ^{3}}

Cancel the common factor:

8

= - \frac{4 x ^{5} y ^{10} x ^{7}}{y ^{3}}

Simplify

\frac{y ^{10}}{y ^{3}} : y^{7}

= - 4 x^{5} y^{7} x^{7}

Simplify

x^{5} x^{7} : x^{12}

= - 4 x^{12} y^{7}

3 (k - 5) + 9 k > - 3

(\frac{5}{4})^{0}

x \cdot e^{- x} \leq 0.01 \cdot π

c = (17 (24) + 10)

ln (x^{2} + 10) > ln (x) + ln (7)

What is (-2xy^2)^5((x^7)/(8y^3)) ?
The solution to (-2xy^2)^5((x^7)/(8y^3)) is -4x^{12}y^7