Name: SAT Math Help & School Math Mastery
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#14173

rational exponents

exponents

hard

45 sec

For what value of $x$ is the expression $\frac{4 10 k}{3 10 k}$ equivalent to $(10 k)^{- 5 x}$ , where $k > 1$ ?

• 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.