en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(9/8))^4

Solution

simplify

(\frac{9}{8})^{4}

Solution

\frac{81}{64}

+1

Decimal Notation

1.265625

Solution steps

(\frac{9}{8})^{4}

Rewrite

4

as

2 \cdot 2

= (\frac{9}{8})^{2 \cdot 2}

Apply exponent rule:

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

(\frac{9}{8})^{2 \cdot 2} = (\frac{9}{8})^{2}^{2}

= (\frac{9}{8})^{2}^{2}

Apply exponent rule:

(\frac{9}{8})^{2} = \frac{9}{8}

= (\frac{9}{8})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{9 ^{2}}{8 ^{2}}

9^{2} = 81

= \frac{81}{8 ^{2}}

8^{2} = 64

= \frac{81}{64}

Popular Examples

simplify (e^x-1)^{-2}simplify

(e^{x} - 1)^{- 2}

simplify 8.1*10^{-4}simplify

8.1 \cdot 1 0^{- 4}

join sqrt(5)*sqrt(x)join

5 \cdot x

simplify e^{-1.32}simplify

e^{- 1.32}

simplify In(e^{-7})simplify

I n (e^{- 7})

Frequently Asked Questions (FAQ)

What is (sqrt(9/8))^4 ?
The solution to (sqrt(9/8))^4 is 81/64