en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4^x+4^x

Solution

simplify

4^{x} + 4^{x}

Solution

2^{1 + 2 x}

Solution steps

4^{x} + 4^{x}

Add similar elements:

4^{x} + 4^{x} = 2 \cdot 4^{x}

= 2 \cdot 4^{x}

Factor the number:

4 = 2^{2}

= 2 (2^{2})^{x}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(2^{2})^{x} = 2^{2 x}

= 2 \cdot 2^{2 x}

Apply exponent rule:

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

2 \cdot 2^{2 x} = 2^{1 + 2 x}

= 2^{1 + 2 x}

Popular Examples

expand (a-x)^4 expand

(a - x)^{4}

simplify (6x)/(24x^2-216x)simplify

\frac{6 x}{24 x ^{2} - 216 x}

simplify (6r)/(2(r^3)^2)simplify

\frac{6 r}{2 ( r ^{3} ) ^{2}}

simplify sqrt(45)-2sqrt(5)simplify

45 - 25

simplify 64^4 simplify

6 4^{4}

Frequently Asked Questions (FAQ)

What is 4^x+4^x ?
The solution to 4^x+4^x is 2^{1+2x}