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Popular >

simplify (25x^4)^{1/2}

Solution

simplify

(25 x^{4})^{\frac{1}{2}}

Solution

5 x^{2}

Solution steps

(25 x^{4})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(25 x^{4})^{\frac{1}{2}} = 2 5^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

= 2 5^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

2 5^{\frac{1}{2}} = 5

= 5 (x^{4})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

= 5 x^{4 \cdot \frac{1}{2}}

4 \cdot \frac{1}{2} = 2

= 5 x^{2}

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Frequently Asked Questions (FAQ)

What is (25x^4)^{1/2} ?
The solution to (25x^4)^{1/2} is 5x^2