en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2^{5/4}*3^{5/4}

Solution

simplify

2^{\frac{5}{4}} \cdot 3^{\frac{5}{4}}

Solution

6 \cdot 6^{\frac{1}{4}}

+1

Decimal Notation

9.39050 \dots

Solution steps

2^{\frac{5}{4}} \cdot 3^{\frac{5}{4}}

Apply exponent rule:

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

2^{\frac{5}{4}} \cdot 3^{\frac{5}{4}} = (2 \cdot 3)^{\frac{5}{4}}

= (2 \cdot 3)^{\frac{5}{4}}

Multiply the numbers:

2 \cdot 3 = 6

= 6^{\frac{5}{4}}

6^{\frac{5}{4}} = 6^{1 + \frac{1}{4}}

= 6^{1 + \frac{1}{4}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 6^{1} \cdot 6^{\frac{1}{4}}

Refine

= 6 \cdot 6^{\frac{1}{4}}

Popular Examples

factor 4k^2-12k+9 factor

4 k^{2} - 12 k + 9

3 x + 1 = x - 2

simplify (4*10^{2019}-1)/(4*(3*2019)+1)simplify

\frac{4 \cdot 1 0 ^{2019} - 1}{4 \cdot ( 3 \cdot 2019 ) + 1}

5 x^{2} - 3 x - 2 = 0

7 - 7 ∣ 5 x - 2 ∣ = - 56

Frequently Asked Questions (FAQ)

What is 2^{5/4}*3^{5/4} ?
The solution to 2^{5/4}*3^{5/4} is 6*6^{1/4}