write the following expression in the form ca^(p)b^(q) where c p and q are numbers,
1) sqrrt(9ab^3)
please show work
thanks
Square root means raise to the ½ power. Then
√(9ab³) =
√(9)√(a)√(b³) =
3a^(½)(b³)^(½) =
3a^(½)b^(3*½) =
3a^(½)b^(3/2)
So c = 3, p = ½, q = 3/4
Hope this helps you!
In response to the best answer, you meant to put q = 3/2
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Verified answer
Square root means raise to the ½ power. Then
√(9ab³) =
√(9)√(a)√(b³) =
3a^(½)(b³)^(½) =
3a^(½)b^(3*½) =
3a^(½)b^(3/2)
So c = 3, p = ½, q = 3/4
Hope this helps you!
In response to the best answer, you meant to put q = 3/2