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Popular >

simplify sqrt(4^{x+2)}

Solution

simplify

4^{x + 2}

Solution

2^{x + 2}

Solution steps

4^{x + 2}

Apply radical rule:

a = a^{\frac{1}{2}}

= (4^{x + 2})^{\frac{1}{2}}

Apply exponent rule:

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

= 4^{(x + 2) \frac{1}{2}}

Simplify

(x + 2) \frac{1}{2} : \frac{x + 2}{2}

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

Factor the number:

4 = 2^{2}

= (2^{2})^{\frac{x + 2}{2}}

Apply exponent rule:

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

(2^{2})^{\frac{x + 2}{2}} = 2^{2 \cdot \frac{x + 2}{2}} = 2^{x + 2}

= 2^{x + 2}

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Frequently Asked Questions (FAQ)

What is sqrt(4^{x+2)} ?
The solution to sqrt(4^{x+2)} is 2^{x+2}