en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9^{2^{-1}}

Solution

simplify

9^{2^{- 1}}

Solution

3

Solution steps

9^{2^{- 1}}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

2^{- 1} = \frac{1}{2}

= 9^{\frac{1}{2}}

Factor the number:

9 = 3^{2}

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

Apply exponent rule:

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

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

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

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

Popular Examples

simplify 2-[3+4(s-3)]simplify

2 - [3 + 4 (s - 3)]

simplify-log_{10}(10^{-14})simplify

- lo g_{10} (1 0^{- 14})

simplify sqrt(50*\sqrt{10)}simplify

50 \cdot 10

\frac{6}{7} \div 9

expand (a^{x+1}-2a^x-a^{x-1})^2 expand

(a^{x + 1} - 2 a^{x} - a^{x - 1})^{2}

Frequently Asked Questions (FAQ)

What is 9^{2^{-1}} ?
The solution to 9^{2^{-1}} is 3