What is ((5x)/y)^2((y^3)/(10x^2)) ?

The solution to ((5x)/y)^2((y^3)/(10x^2)) is (5y)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((5x)/y)^2((y^3)/(10x^2))

simplify

(\frac{5 x}{y})^{2} (\frac{y ^{3}}{10 x ^{2}})

\frac{5 y}{2}

Solution steps

(\frac{5 x}{y})^{2} (\frac{y ^{3}}{10 x ^{2}})

Apply rule:

(a) = a

(\frac{y ^{3}}{10 x ^{2}}) = \frac{y ^{3}}{10 x ^{2}}

= (\frac{5 x}{y})^{2} \frac{y ^{3}}{10 x ^{2}}

Simplify

(\frac{5 x}{y})^{2} : \frac{25 x ^{2}}{y ^{2}}

= \frac{25 x ^{2}}{y ^{2}} \cdot \frac{y ^{3}}{10 x ^{2}}

Apply the fraction rule:

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

= \frac{25 x ^{2} y ^{3}}{y ^{2} \cdot 10 x ^{2}}

Cancel the common factor:

x^{2}

= \frac{25 y ^{3}}{y ^{2} \cdot 10}

Factor the number:

25 = 5 \cdot 5

= \frac{5 \cdot 5 y ^{3}}{y ^{2} \cdot 10}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 5 y ^{3}}{y ^{2} \cdot 5 \cdot 2}

Cancel the common factor:

5

= \frac{5 y ^{3}}{y ^{2} \cdot 2}

Simplify

\frac{y ^{3}}{y ^{2}} : y

= \frac{5 y}{2}

x^{3} - 8 x^{2} - 2 x + 16

∣ x - 10 ∣ = 5

x^{2} + x y - 6 y^{2}

11 w^{4} - 18 w^{2} s^{6} + 7 s^{12}

lo g_{10} (9)

What is ((5x)/y)^2((y^3)/(10x^2)) ?
The solution to ((5x)/y)^2((y^3)/(10x^2)) is (5y)/2