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Popular >

simplify sqrt((0.25)^{1+a)}

Solution

simplify

(0.25)^{1 + a}

Solution

0.2 5^{\frac{a + 1}{2}}

Solution steps

(0.25)^{1 + a}

Apply radical rule:

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

= (0.2 5^{1 + a})^{\frac{1}{2}}

Apply exponent rule:

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

= 0.2 5^{(1 + a) \frac{1}{2}}

Simplify

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

= 0.2 5^{\frac{1 + a}{2}}

= 0.2 5^{\frac{a + 1}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((0.25)^{1+a)} ?
The solution to sqrt((0.25)^{1+a)} is 0.25^{(a+1)/2}