How do you smiplify #(a ^ { \frac { 3} { 8} } b ^ { \frac { 7} { 6} } ) ^ { 4}#?

1 Answer
marfre
Mar 30, 2018

#a^(3/2)b^(14/3)#

Explanation:

Given: #(a^(3/8)b^(7/6))^4#

Use the exponent rule: #(x^m)^n = x^(m*n)#

#(a^(3/8)b^(7/6))^4 = a^((3/8) * (4/1)) b^((7/6)*(4/1))#

#= a^(12/8) b^(28/6)#

Reduce the exponent fractions:

#a^(3/2)b^(14/3)#

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