Exponents and Division Quiz
Solution:
Distribute -2r to 8r and 5 using the distributive property of multiplication:
-2r(8r + 5) = -2r(8r) + (-2r)(5)
= -16r^2 - 10r
Answer: -16r^2 -10r
Solution:
Distribute 4a to a^2, 7a, and 4 using the distributive property of multiplication:
4a(a^2 + 7a + 4) = 4a(a^2) + 4a(7a) + 4a(4)
= 4a^3 + 28a^2 + 16a
Answer: 4a^3 + 28a^2 + 16a
Solution:
Use the FOIL method to multiply the two binomials:
(2y - 3)(3y - 2) = 2y(3y) - 2(2y) - 3(3y) + 3(2)
= 6y^2 - 4y - 9y + 6
Simplify by combining like terms:
= 6y^2 - 13y + 6
Answer: 6y^2 - 13y + 6
1. Evaluate: 3^4 ÷ 3^2
Solution:
3^4 ÷ 3^2 = 81 ÷ 9 = 9
Answer: 9
2. Simplify: (2^3 x 3^2) ÷ (2^2 x 3^4)
Solution:
(2^3 x 3^2) ÷ (2^2 x 3^4) = (8 x 9) ÷ (4 x 81) = 72 ÷ 324 = 0.2222
Answer: 0.2222
3. Evaluate: 5^3 ÷ 5^3
Solution:
5^3 ÷ 5^3 = 1
Answer: 1
4. Simplify: (7^2 x 8^3) ÷ (7^2 x 2^3)
Solution:
(7^2 x 8^3) ÷ (7^2 x 2^3) = (49 x 512) ÷ (49 x 8) = 256
Answer: 256
5. Evaluate: (10^4) ÷ (2^6)
Solution:
(10^4) ÷ (2^6) = 10000 ÷ 64 = 156.25
Answer: 156.25
6. -2r(8r+5)
4a(a^2+7a+4)
(2y-3) (3y-2)
x^9/x^2
Solution:
To divide exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator:
x^9 ÷ x^2 = x^(9-2) = x^7
Answer: x^7