en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 64^{3/2}

Solution

simplify

6 4^{\frac{3}{2}}

Solution

512

Solution steps

6 4^{\frac{3}{2}}

Factor the number:

64 = 8^{2}

= (8^{2})^{\frac{3}{2}}

Apply exponent rule:

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

= 8^{2 \cdot \frac{3}{2}}

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

= 8^{3}

8^{3} = 512

= 512

Popular Examples

9 - ∣ 2 x + 6 ∣ \leq 5

simplify-8+9 simplify

- 8 + 9

simplify log_{10}(1000)simplify

lo g_{10} (1000)

simplify (x^7)/(x^4)*x^2 simplify

\frac{x ^{7}}{x ^{4}} \cdot x^{2}

factor 4p^2-4p-3 factor

4 p^{2} - 4 p - 3

Frequently Asked Questions (FAQ)

What is 64^{3/2} ?
The solution to 64^{3/2} is 512