en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9^{2/3}*3^{2/3}

Solution

simplify

9^{\frac{2}{3}} \cdot 3^{\frac{2}{3}}

Solution

9

Solution steps

9^{\frac{2}{3}} \cdot 3^{\frac{2}{3}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

9^{\frac{2}{3}} \cdot 3^{\frac{2}{3}} = (9 \cdot 3)^{\frac{2}{3}}

= (9 \cdot 3)^{\frac{2}{3}}

Multiply the numbers:

9 \cdot 3 = 27

= 2 7^{\frac{2}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

= 3^{2}

Refine

= 9

Popular Examples

6 x^{2} - 3 x - 1 = 0

factor-6x^2+6x factor

- 6 x^{2} + 6 x

factor 5x^4+10x^3-175x^2 factor

5 x^{4} + 10 x^{3} - 175 x^{2}

factor 4a+4b factor

4 a + 4 b

(x^2+4)/(25x^2-36)>= 0

\frac{x ^{2} + 4}{25 x ^{2} - 36} \geq 0

Frequently Asked Questions (FAQ)

What is 9^{2/3}*3^{2/3} ?
The solution to 9^{2/3}*3^{2/3} is 9