QUESTION IMAGE
Question
if you got:
f and g
n
now find:
rewrite $x^{\frac{6}{7}}$ as a root
Step1: Recall exponent - root rule
The rule for converting a fractional exponent to a root is \(a^{\frac{m}{n}}=\sqrt[n]{a^{m}}\) (where \(n\gt0\), \(a\) is a real number, and \(m,n\) are integers).
Step2: Apply the rule to \(x^{\frac{6}{7}}\)
Here, \(a = x\), \(m = 6\), and \(n=7\). Using the rule \(a^{\frac{m}{n}}=\sqrt[n]{a^{m}}\), we substitute the values: \(x^{\frac{6}{7}}=\sqrt[7]{x^{6}}\).
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\(\sqrt[7]{x^{6}}\)