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Popular >

simplify (cd)^{1/2}(d^{1/3})

Solution

simplify

(c d)^{\frac{1}{2}} (d^{\frac{1}{3}})

Solution

c^{\frac{1}{2}} d^{\frac{5}{6}}

Solution steps

(c d)^{\frac{1}{2}} (d^{\frac{1}{3}})

Apply rule:

(a) = a

(d^{\frac{1}{3}}) = d^{\frac{1}{3}}

= (c d)^{\frac{1}{2}} d^{\frac{1}{3}}

Apply exponent rule:

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

(c d)^{\frac{1}{2}} = c^{\frac{1}{2}} d^{\frac{1}{2}}

= c^{\frac{1}{2}} d^{\frac{1}{2}} d^{\frac{1}{3}}

Simplify

d^{\frac{1}{2}} d^{\frac{1}{3}} : d^{\frac{5}{6}}

= c^{\frac{1}{2}} d^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is (cd)^{1/2}(d^{1/3}) ?
The solution to (cd)^{1/2}(d^{1/3}) is c^{1/2}d^{5/6}