Name: SAT Math Help & School Math Mastery
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#34859

rational exponents

exponents

hard

90 sec

If $\frac{( x ^{3} ) ^{4}}{3 x \cdot x ^{- 2}} = x^{\frac{a}{b}}$ for all positive values of $x$ , what is the value of $\frac{a}{b}$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.