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Popular >

simplify sqrt(9^{16x^2)}

Solution

simplify

9^{16 x^{2}}

Solution

4304672 1^{x^{2}}

Solution steps

9^{16 x^{2}}

Apply radical rule:

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

= (9^{16 x^{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 9^{16 x^{2} \frac{1}{2}}

Simplify

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

= 9^{8 x^{2}}

Apply exponent rule:

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

9^{8 x^{2}} = (9^{8})^{x^{2}}

= (9^{8})^{x^{2}}

9^{8} = 43046721

= 4304672 1^{x^{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(9^{16x^2)} ?
The solution to sqrt(9^{16x^2)} is 43046721^{x^2}