# algebra

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The third power of sqrt of 5b^9. Can someone point out the steps for solving this problem. Thanks for your help in advance.

• algebra -

change b^9 to b^8*b

sqrt (5b^8*b)=b^4 sqrt5b

now cube all that.

b^12 (5b)sqrt5b

• algebra -

[sqrt(5 b^9]^3 = [(5 b^9)^(1/2)]^3
= 5^(3/2) * b^(9/2)
= 11.18034.. b^(9/2)

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