How do you calculate the radical of 128 with an index of negative 3?
Answer (2)
128 = 2 7 12 8 − 3 = ( 2 7 ) − 3 = 2 7 ⋅ ( − 3 ) = 2 − 21 = 2 21 1
To calculate 12 8 − 3 , first express 128 as 2 7 . Then, use the exponent rule to get 2 − 21 and convert it to 2 21 1 , which equals 2097152 1 .
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