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Lesson 3: Expressions with Exponents — Practice Questions

  1. 1. The expression $81^2$ can be written in the form $3^x$. Find the value of $x$. ___

  2. 2. Express $16^4$ in the form $2^n$. The value of $n$ is ___.

  3. 3. Are the expressions $8^3$ and $2^8$ equivalent?

    • A. Yes
    • B. No
  4. 4. The expression $125^3$ is equivalent to $5^y$. What is the value of $y$? ___

  5. 5. Rewrite the expression $(4^a)^3$ in the form $2^k$. The exponent $k$ is ___. Enter your answer in terms of $a$.

  6. 6. Determine if the expressions $49^4$ and $7^8$ are equivalent.

    • A. They are equivalent.
    • B. They are not equivalent.
  7. 7. The expression $1000^5$ can be written as $10^z$. Find the value of $z$. ___

  8. 8. Compute the power: $(\frac{2}{3})^4 = $ ___.

  9. 9. One of the two statements is true for all values of $x$. Which statement is true?

    • A. $x \cdot x = 2x$
    • B. $x \cdot x = x^2$
    • C. Both are true
    • D. Neither is true
  10. 10. Translate "25% of the cube of $h$" into an algebraic expression. The expression is ___.