en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (32^{1/5})^3

Solution

simplify

(3 2^{\frac{1}{5}})^{3}

Solution

8

Solution steps

(3 2^{\frac{1}{5}})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3 2^{\frac{1}{5} \cdot 3}

\frac{1}{5} \cdot 3 = \frac{3}{5}

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

Factor the number:

32 = 2^{5}

= (2^{5})^{\frac{3}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

5 \cdot \frac{3}{5} = 3

= 2^{3}

2^{3} = 8

= 8

Popular Examples

factor 4uv^2(2u-v)+6u^2v(v-2u)factor

4 u v^{2} (2 u - v) + 6 u^{2} v (v - 2 u)

simplify (9x^4y^3)/(3x^{10)y^7}simplify

\frac{9 x ^{4} y ^{3}}{3 x ^{10} y ^{7}}

simplify (7^4)/7 simplify

\frac{7 ^{4}}{7}

4 x^{2} + 20 x - 25 = 0

∣ (2 x) ∣ > 6

Frequently Asked Questions (FAQ)

What is (32^{1/5})^3 ?
The solution to (32^{1/5})^3 is 8