What is u^3v^{2\circ}(uv^2)^3 ?

The solution to u^3v^{2\circ}(uv^2)^3 is u^6v^{2\circ+6}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify u^3v^{2\circ}(uv^2)^3

simplify

u^{3} v^{2 \circ} (u v^{2})^{3}

u^{6} v^{2 \circ+ 6}

Solution steps

u^{3} v^{2 \circ} (u v^{2})^{3}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

u^{3} (u v^{2})^{3} = (uu v^{2})^{3}

= v^{2 \circ} (uu v^{2})^{3}

Simplify

uu v^{2} : u^{2} v^{2}

= v^{2 \circ} (u^{2} v^{2})^{3}

(u^{2} v^{2})^{3} : u^{6} v^{6}

= u^{6} v^{6} v^{2 \circ}

Apply exponent rule:

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

v^{6} v^{2 \circ} = v^{6 + 2 \circ}

= u^{6} v^{6 + 2 \circ}

(7.23 x 1 0^{- 15}) (6.11 x 1 0^{8})

e^{- 3 l n (x + 1)}

3.48 \cdot 1 0^{- 5}

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

What is u^3v^{2\circ}(uv^2)^3 ?
The solution to u^3v^{2\circ}(uv^2)^3 is u^6v^{2\circ+6}