Lesson 7

Practice with Rational Bases

Let's practice with exponents.

Problem 1

Write with a single exponent:

  1. \(\frac{7^6}{7^2}\)
  2. \((11^4)^5\)
  3. \(4^2 \boldcdot 4^6\)
  4. \(6 \boldcdot 6^8\)
  5. \((12^2)^7\)
  6. \(\frac{3^{10}}{3}\)
  7. \((0.173)^9 \boldcdot (0.173)^2\)
  8. \(\frac{0.87^5}{0.87^3}\)
  9. \(\frac{(\frac{5}{2})^8}{(\frac{5}{2})^6}\)

Problem 2

Noah says that \(2^4 \boldcdot 3^2 = 6^6\). Tyler says that \(2^4 \boldcdot 4^2 = 16^2\).

  1. Do you agree with Noah? Explain or show your reasoning.
  2. Do you agree with Tyler? Explain or show your reasoning.