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Popular >

simplify (25a^{10}b^{16})^{1/2}

Solution

simplify

(25 a^{10} b^{16})^{\frac{1}{2}}

Solution

5 a^{5} b^{8}

Solution steps

(25 a^{10} b^{16})^{\frac{1}{2}}

Apply exponent rule:

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

(25 a^{10} b^{16})^{\frac{1}{2}} = 2 5^{\frac{1}{2}} (a^{10})^{\frac{1}{2}} (b^{16})^{\frac{1}{2}}

= 2 5^{\frac{1}{2}} (a^{10})^{\frac{1}{2}} (b^{16})^{\frac{1}{2}}

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

= 5 (a^{10})^{\frac{1}{2}} (b^{16})^{\frac{1}{2}}

Simplify

(a^{10})^{\frac{1}{2}} : a^{5}

= 5 a^{5} (b^{16})^{\frac{1}{2}}

Simplify

(b^{16})^{\frac{1}{2}} : b^{8}

= 5 a^{5} b^{8}

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Frequently Asked Questions (FAQ)

What is (25a^{10}b^{16})^{1/2} ?
The solution to (25a^{10}b^{16})^{1/2} is 5a^5b^8