Ch 7 Operations with Exponents Practice
Simplify each expression.
1. 4–1(3–3)
2. (x–2)(x–5)
3. (x2y–2)(x3y2)
4. m3n0(m–3)
5. 43(8–2z2)
6. (2a5)(9a3)
7. (50)(21)(4–2)
8. (b–2c)(c–1b3)
Simplify each expression.
1. 6–1(4–2)
2. (x–6)–3
3. (2x4)(8x15)
4. (xy–6)(xy)3
5. a4b0(a–5)
6. (42)–1(5x2)3
7. (7x4)(5x7)
8. (8x3)4(3x0)–2
9. (ab3)(a0b–2)
10. The average distance from Earth to the sun is approximately 149,600,000 km. The
average distance from Mars to the sun is approximately 227,900,000 km.
a. Write each number in scientific notation.
b. Find the distance between the orbits of Earth and Mars.
Do You UNDERSTAND?
11. Vocabulary Identify the base, exponent, and power in the expression yx.
12. Reasoning Explain why (x y)z = (x z)y but (x y)z  (y x)z.
Simplify each expression.
 28 
1.  7 
2 
3
 9a 3 
3. 

 18b4 
 m4 
2.  3 
n 
2
2
 53 t 2 
4.  3 0 3 
5 s t 
2
5. (x–2)–5
6. (x2y–2)(xy)4
7. (5–1)2(8t2)–2
8. (x4y–1)3
10. (cd)–2(cd)3
9. (5qr)0(16qr2)
Simplify each expression.
 43 
13. 1.  2 
4 
10.
4
 y5 
2.  4 
x 
3
 16x 4 
3. 

 32 y 5 
2
 32 y 4 
4.  2 0 2 
3 x y 
Open-Ended Choose a fraction to use as a value for the variable n, like n = 2/3.
Find the values of n0, n–1, n3, and n–3.
11.
2
Reasoning Raymond says that 5.4  1015 is greater than 4.9  1016
because 5.4 > 4.9. Is he correct? Explain.
Ch 7 Operations with Exponents Practice Answers