If f(x) = x^(-2/3), what is the value of f(8) ?
f(x) = x^(-2/3)
1 --------- = f(x) {made a positive exponent by moving into denominator} x^(2/3) 1 --------- = f(8) {substituted 8 for x} 8^(2/3) 1 ---------- = f(8) {8 to the two-thirds power is the same as the cube root of 8, squared} (³√8)² 1 ------ = f(8) {evaluated the cube root of 8 to be 2} 2² 1 --- = f(8) {squared the 2} 4 See more function examples here or Ask Algebra House
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