Exponent Rules Study Guide
Exponent Rules Study Guide
Algebra 1 • Sections 8.1–8.6
Name:
Date: Period:
Directions: Simplify each expression completely using exponent rules. All final answers must be written with positive exponents only. Show all work in the space provided.
1
\( 10x^3 \left(-2x^4 y^3\right) \left(\frac{3}{5} x y^2\right) \)
Answer:
2
\( (-3)^{-7} \cdot (-3)^2 \cdot (-3)^9 \)
Answer:
3
\( -(14x)^0 \)
Answer:
4
\( \frac{6r^{-4} t^5}{24r^3 t^8 u^{-6}} \)
Answer:
5
\( \left(a^5 b^8\right)^{\frac{3}{4}} \)
Answer:
6
\( \frac{(5^3)^4 \cdot (5^2)^6 \cdot (5^4)^3}{(5^9)^4} \)
Answer:
7
\( \left(6ab^3 c\right)^3 \cdot \left(2a^3 c\right)^{-2} \)
Answer:
8
\( \left(\frac{-8x^2 y^4 z^0}{2x^2 y^4 z^6}\right)^{-2} \)
Answer:
Exponent Rules Study Guide
Page 2
Name:
Directions: Continue simplifying each expression. Ensure all final answers contain only positive exponents.
9
\( \left(5x^4 \cdot 2x^{-5}\right)^{-3} \)
Answer:
10
\( \frac{6x^4 \cdot \left(2x y^{-3}\right)^2}{\left(4x^{-2} y^3\right)^2 \cdot x^2} \)
Answer:
11
\( \left(-3a^3 b^{-2}\right)^3 \cdot \left(2a^{-4} b^5\right)^2 \)
Answer:
12
\( \left(\frac{3a^{-3} b^4}{9a^2 b^{-1}}\right)^{-2} \)
Answer:
13
\( \frac{\left(4x^3 y^{-2}\right)^{-2} \cdot 8x^7 y^2}{2x^{-3} y^5} \)
Answer:
14
\( \frac{\left(-2m^3 n^{-2}\right)^4 \cdot \left(3m^{-1} n^5\right)}{8m^4 n^{-3}} \)
Answer:
15
\( \left(\frac{-2a^4 b^{-3} c^0}{4a^{-2} b^2 c^{-5}}\right)^{-3} \)
Answer:
16
\( \frac{\left(3x^2 y^{-3}\right)^3 \cdot \left(2x^{-1} y^4\right)^2}{\left(6x^{-2} y^2\right)^2 \cdot x^3 y} \)
Answer:
