What is (4x^{5/4})(2x^{1/2}) ?

The solution to (4x^{5/4})(2x^{1/2}) is 8x^{7/4}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4x^{5/4})(2x^{1/2})

simplify

(4 x^{\frac{5}{4}}) (2 x^{\frac{1}{2}})

8 x^{\frac{7}{4}}

Solution steps

(4 x^{\frac{5}{4}}) (2 x^{\frac{1}{2}})

Apply exponent rule:

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

x^{\frac{5}{4}} x^{\frac{1}{2}} = x^{\frac{5}{4} + \frac{1}{2}}

= 4 \cdot 2 x^{\frac{5}{4} + \frac{1}{2}}

x^{\frac{5}{4} + \frac{1}{2}} = x^{\frac{7}{4}}

= 4 \cdot 2 x^{\frac{7}{4}}

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{\frac{7}{4}}

2 (x - 4)^{2} + 6 = 30

e^{- \frac{2}{3}}

lo g_{64} (\frac{1}{4})

- 26 = 6 (x - 4) - 8 x

- (\frac{3}{2})^{2} + 4 (- \frac{3}{2})