What is (1/2 xy^2)(3/4 x^3y^3) ?

The solution to (1/2 xy^2)(3/4 x^3y^3) is (3x^4y^5)/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2 xy^2)(3/4 x^3y^3)

simplify

(\frac{1}{2} x y^{2}) (\frac{3}{4} x^{3} y^{3})

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

Solution steps

(\frac{1}{2} x y^{2}) (\frac{3}{4} x^{3} y^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{3} = x^{1 + 3}

= \frac{1}{2} y^{2} \frac{3}{4} x^{1 + 3} y^{3}

Add the numbers:

1 + 3 = 4

= \frac{1}{2} y^{2} \frac{3}{4} x^{4} y^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{3} = y^{2 + 3}

= \frac{1}{2} \cdot \frac{3}{4} x^{4} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= \frac{1}{2} \cdot \frac{3}{4} x^{4} y^{5}

Multiply fractions:

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

= \frac{1 \cdot 3 x ^{4} y ^{5}}{2 \cdot 4}

Refine

= \frac{3 x ^{4} y ^{5}}{8}

e^{- l n (1 - p)}

(3.4 \cdot 1 0^{- 11}) \cdot 1 0^{3.3}

4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3})

e^{- t} \cdot e^{2 t}

What is (1/2 xy^2)(3/4 x^3y^3) ?
The solution to (1/2 xy^2)(3/4 x^3y^3) is (3x^4y^5)/8