en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2/3)^2*(2/3)^2

Solution

simplify

(\frac{2}{3})^{2} \cdot (\frac{2}{3})^{2}

Solution

\frac{16}{81}

+1

Decimal Notation

0.19753 \dots

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

= (\frac{2}{3})^{4}

Apply exponent rule:

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

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

2^{4} = 16

= \frac{16}{3 ^{4}}

3^{4} = 81

= \frac{16}{81}

Popular Examples

simplify 1/25 x^4-9/16 y^4 simplify

\frac{1}{25} x^{4} - \frac{9}{16} y^{4}

simplify (18x^2sqrt(14x^8))/(6sqrt(7x^4))simplify

\frac{18 x ^{2} 14 x ^{8}}{6 7 x ^{4}}

expand (3ax-1)^2 expand

(3 a x - 1)^{2}

simplify 9/18+2/14 simplify

\frac{9}{18} + \frac{2}{14}

simplify (22w+11)/(8w^2-6w)-3/(2w)simplify

\frac{22 w + 11}{8 w ^{2} - 6 w} - \frac{3}{2 w}

Frequently Asked Questions (FAQ)

What is (2/3)^2*(2/3)^2 ?
The solution to (2/3)^2*(2/3)^2 is 16/81