en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 36^{1/4}*36^{1/4}

Solution

simplify

3 6^{\frac{1}{4}} \cdot 3 6^{\frac{1}{4}}

Solution

6

Solution steps

3 6^{\frac{1}{4}} \cdot 3 6^{\frac{1}{4}}

Apply exponent rule:

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

3 6^{\frac{1}{4}} \cdot 3 6^{\frac{1}{4}} = 3 6^{\frac{1}{4} + \frac{1}{4}}

= 3 6^{\frac{1}{4} + \frac{1}{4}}

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

= 3 6^{\frac{1}{2}}

Factor the number:

36 = 6^{2}

= (6^{2})^{\frac{1}{2}}

Apply exponent rule:

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

= 6^{2 \cdot \frac{1}{2}}

2 \cdot \frac{1}{2} = 1

= 6^{1}

Apply exponent rule:

a^{1} = a

= 6

Popular Examples

∣ 3 - 2 x ∣ = ∣ x + 5 ∣

simplify 2^3-[(sqrt(4))(6/3-1)]simplify

2^{3} - [(4) (\frac{6}{3} - 1)]

3 k - 5 = 7 k + 7

simplify-(1)^3 simplify

- (1)^{3}

factor x^2+3x-270 factor

x^{2} + 3 x - 270

Frequently Asked Questions (FAQ)

What is 36^{1/4}*36^{1/4} ?
The solution to 36^{1/4}*36^{1/4} is 6