sqrt{a^{3} b^{2}} cdot sqrt{a^{4} b^{9}}

Question

Accepted Answer

Step:1 ：The question is asking to simplify the expression (sqrt{a^{3} b^{2}} cdot sqrt{a^{4} b^{9}}).Step:2 ：First, we can multiply the two radicals together, which gives us (sqrt{a^{3} b^{2} cdot a^{4} b^{9}}).Step:3 ：Then, we can use the property of exponents that says (a^{m} cdot a^{n} = a^{m+n}) to simplify the expression inside the radical. This gives us (sqrt{a^{3+4} b^{2+9}}).Step:4 ：Finally, we can simplify the exponents to get (sqrt{a^{7} b^{11}}).Step:5 ：Final Answer: (boxed{sqrt{a^{7} b^{11}}})

Answer

Step: 1 ：The question is asking to simplify the expression (sqrt{a^{3} b^{2}} cdot sqrt{a^{4} b^{9}}).Step: 2 ：First, we can multiply the two radicals together, which gives us (sqrt{a^{3} b^{2} cdot a^{4} b^{9}}).Step: 3 ：Then, we can use the property of exponents that says (a^{m} cdot a^{n} = a^{m+n}) to simplify the expression inside the radical. This gives us (sqrt{a^{3+4} b^{2+9}}).Step: 4 ：Finally, we can simplify the exponents to get (sqrt{a^{7} b^{11}}).Step: 5 ：Final Answer: (boxed{sqrt{a^{7} b^{11}}})

$\sqrt{a^{3} b^{2}} \cdot \sqrt{a^{4} b^{9}}$

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