QUESTION IMAGE
Question
true or false ( 27^{\frac{4}{3}} = 81 )
○ true
○ false
Step1: Rewrite base as power of 3
$27 = 3^3$
Step2: Simplify left-hand side
$27^{\frac{4}{3}} = (3^3)^{\frac{4}{3}} = 3^{3\times\frac{4}{3}} = 3^4$
Step3: Calculate $3^4$
$3^4 = 3\times3\times3\times3 = 81$
Step4: Compare both sides
Left-hand side equals right-hand side.
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True