Laws of Exponents and its Application LEARNING TASKS:
A. Simplify the following:
1. (a4) (a5)
2. (x5) (x) (x4)
3. (-4a2b) (-3ab2)
4. (5x) (2 x4)
5. (4b4)2(-6b4)4
6. 7pqr
7pqr
7. 15x2y5
5y3
8. 35 ab2c3d
5 a2b3c2d4
9. 63y5z4
9y2z10
10. -121x3y4
11x4y3
B. Perform the indicated operations. Simplify your answer.
1. 6m (n+2p)
2. -3a (a2 – 4a + 1)
3. 3x (2x2 + 5x -2)
4. 36��−28��
4
5. 50x2y4 + 40x3y5 + 30x4y6
-10x2y2
C. Solve. (5 points each)
1.) Find the area of a rectangle whose length measures 7xy and whose width measures 5xy. (Show your solution)
2.) A box has a height of 6x. The volume of the box is 36x3 + 12x2 + 42x. Find the area of the base of the box. Use the formula, V= Bh, where B is the area of the base. (Show your solution.)
“Mathematicians are MADE, not BORN.”
God Bless!
A. Simplify the following:
1. (a4) (a5)
2. (x5) (x) (x4)
3. (-4a2b) (-3ab2)
4. (5x) (2 x4)
5. (4b4)2(-6b4)4
6. 7pqr
7pqr
7. 15x2y5
5y3
8. 35 ab2c3d
5 a2b3c2d4
9. 63y5z4
9y2z10
10. -121x3y4
11x4y3
B. Perform the indicated operations. Simplify your answer.
1. 6m (n+2p)
2. -3a (a2 – 4a + 1)
3. 3x (2x2 + 5x -2)
4. 36��−28��
4
5. 50x2y4 + 40x3y5 + 30x4y6
-10x2y2
C. Solve. (5 points each)
1.) Find the area of a rectangle whose length measures 7xy and whose width measures 5xy. (Show your solution)
2.) A box has a height of 6x. The volume of the box is 36x3 + 12x2 + 42x. Find the area of the base of the box. Use the formula, V= Bh, where B is the area of the base. (Show your solution.)
“Mathematicians are MADE, not BORN.”
God Bless!
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Answer:
All grade answer math problems are solved here from different topics. A large number of objective answer math problems are solved here to help the students quickly to test their knowledge and skills on different topics.
1. Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation: