What is ((xy^{4.5})/(y^{2.5)})^2 ?

The solution to ((xy^{4.5})/(y^{2.5)})^2 is x^2y^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((xy^{4.5})/(y^{2.5)})^2

simplify

(\frac{x y ^{4.5}}{y ^{2.5}})^{2}

x^{2} y^{4}

Solution steps

(\frac{x y ^{4.5}}{y ^{2.5}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x y ^{4.5} ) ^{2}}{( y ^{2.5} ) ^{2}}

Simplify

(x y^{4.5})^{2} : x^{2} y^{9}

= \frac{x ^{2} y ^{9}}{( y ^{2.5} ) ^{2}}

Simplify

(y^{2.5})^{2} : y^{5}

= \frac{x ^{2} y ^{9}}{y ^{5}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{y ^{9}}{y ^{5}} = y^{9 - 5}

= x^{2} y^{9 - 5}

Subtract the numbers:

9 - 5 = 4

= x^{2} y^{4}

12 \cdot (- 8)

(h + 2)^{3}

\frac{3}{x + 4} + \frac{6}{x + 5}

\frac{14}{72}

95 \cdot 510

What is ((xy^{4.5})/(y^{2.5)})^2 ?
The solution to ((xy^{4.5})/(y^{2.5)})^2 is x^2y^4