en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4)^{5/2}

Solution

simplify

(4)^{\frac{5}{2}}

Solution

32

Solution steps

4^{\frac{5}{2}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

= 2^{5}

2^{5} = 32

= 32

Popular Examples

simplify e^{ln(1/e)}simplify

e^{l n (\frac{1}{e})}

factor 27+d^3 factor

27 + d^{3}

simplify 1\times 10^{-3}simplify

1 \times 1 0^{- 3}

simplify (2^6)^{10}simplify

(2^{6})^{10}

simplify 6/90 simplify

\frac{6}{90}

Frequently Asked Questions (FAQ)

What is (4)^{5/2} ?
The solution to (4)^{5/2} is 32