en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^2(e^{m+3})^4

Solution

simplify

e^{2} (e^{m + 3})^{4}

Solution

e^{4 m + 14}

Solution steps

e^{2} (e^{m + 3})^{4}

(e^{m + 3})^{4} : e^{(m + 3) \cdot 4}

= e^{2} e^{(m + 3) \cdot 4}

Apply exponent rule:

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

e^{2} e^{(m + 3) \cdot 4} = e^{2 + 4 (m + 3)}

= e^{2 + (m + 3) \cdot 4}

Expand

2 + (m + 3) \cdot 4 : 4 m + 14

= e^{4 m + 14}

Popular Examples

simplify 2e^{3t}*6e^{3t}simplify

2 e^{3 t} \cdot 6 e^{3 t}

simplify (5x^3y^3)(x^2-3xy+y)simplify

(5 x^{3} y^{3}) (x^{2} - 3 x y + y)

simplify (3u^3v^5)(9u^4v)simplify

(3 u^{3} v^{5}) (9 u^{4} v)

simplify 0.9*10^{-1}simplify

0.9 \cdot 1 0^{- 1}

simplify (3x^2y^3)(5xy^2)simplify

(3 x^{2} y^{3}) (5 x y^{2})

Frequently Asked Questions (FAQ)

What is e^2(e^{m+3})^4 ?
The solution to e^2(e^{m+3})^4 is e^{4m+14}