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Popular >

simplify sqrt(x^{4a+16)}

Solution

simplify

x^{4 a + 16}

Solution

x^{2 (a + 4)}

Solution steps

x^{4 a + 16}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

(4 a + 16) \frac{1}{2} : 2 (a + 4)

= x^{2 (a + 4)}

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Frequently Asked Questions (FAQ)

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