Integer exponent rules Knowledge-Based Download PDF

Questions

1. 1.

   What is the value of $n$ that satisfies the equation $\frac{4^{n+2} \cdot 8^{n-1}}{16^{n-1}} = 16$?

   • A) -1
   • B) 1
   • C) 2
   • D) 7
2. 2.

   What is the value of the expression $(-3)^{-2} + (2^{-1})^{-2} - 7^0$?

   • A) $\frac{10}{9}$
   • B) $\frac{26}{9}$
   • C) $\frac{28}{9}$
   • D) $\frac{46}{9}$
3. 3.

   Which of the following is equivalent to the expression $\frac{(a^{-3} b^2)^{-2}}{a^4 b^{-5}}$ for all nonzero real numbers $a$ and $b$?

   • A) $a^2 b$
   • B) $\frac{a^2}{b^9}$
   • C) $\frac{b}{a^2}$
   • D) $a^{10} b$
4. 4.

   Which of the following is equivalent to the expression $\frac{(2^{-2} \cdot 2^5)^{-3}}{2^{-8}}$?

   • A) $2^1$
   • B) $2^{-1}$
   • C) $2^{-9}$
   • D) $2^{-17}$