What is ((a^{2x})/(b^y))^{3x} ?

The solution to ((a^{2x})/(b^y))^{3x} is (a^{6x^2})/(b^{3yx)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((a^{2x})/(b^y))^{3x}

simplify

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

\frac{a ^{6 x^{2}}}{b ^{3 y x}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(a^{2 x})^{3 x} : a^{6 x^{2}}

= \frac{a ^{6 x^{2}}}{( b ^{y} ) ^{3 x}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(b^{y})^{3 x} = b^{y \cdot 3 x}

= \frac{a ^{6 x^{2}}}{b ^{y \cdot 3 x}}

= \frac{a ^{6 x^{2}}}{b ^{3 y x}}

17 v^{2} - 68

∣ 4 + 3 i ∣

(x + a) (y + a) (z + a)

\frac{20}{60}

\frac{- 6 + 2}{2}

What is ((a^{2x})/(b^y))^{3x} ?
The solution to ((a^{2x})/(b^y))^{3x} is (a^{6x^2})/(b^{3yx)}