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Popular >

simplify sqrt(4^{16x^2)}

Solution

simplify

4^{16 x^{2}}

Solution

6553 6^{x^{2}}

Solution steps

4^{16 x^{2}}

Apply radical rule:

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

= (4^{16 x^{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 4^{16 x^{2} \frac{1}{2}}

Simplify

16 x^{2} \frac{1}{2} : 8 x^{2}

= 4^{8 x^{2}}

Apply exponent rule:

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

4^{8 x^{2}} = (4^{8})^{x^{2}}

= (4^{8})^{x^{2}}

4^{8} = 65536

= 6553 6^{x^{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(4^{16x^2)} ?
The solution to sqrt(4^{16x^2)} is 65536^{x^2}