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Popular >

simplify sqrt(16^{x+1)}

Solution

simplify

1 6^{x + 1}

Solution

4^{x + 1}

Solution steps

1 6^{x + 1}

Apply radical rule:

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

= (1 6^{x + 1})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 6^{(x + 1) \frac{1}{2}}

Simplify

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

= 1 6^{\frac{x + 1}{2}}

Factor the number:

16 = 4^{2}

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

Apply exponent rule:

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

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

= 4^{x + 1}

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Frequently Asked Questions (FAQ)

What is sqrt(16^{x+1)} ?
The solution to sqrt(16^{x+1)} is 4^{x+1}