True or false
1. (A^3)^2= A^9
2. (4^3 x 5^2)= 20^12
3. (B^9)^2 = (b^2)^9
4. -11^2= -121
5. (C^2)^3= C^8
6. (3^2 x 9)^3 = 3^12
7. (2 + 3)^3= 5^3
8. (4+5)^3= 4^3 + 5^3
Simplify each
1. A^4 x a^7
2. B^3 x b^4 x b^5
3. c^4 x c^4 x c^8
4. (3d^3) (2d^6) (4d^9)
5. (5e^5) (-4e^4)
6. (5f^2g) (-2fg^3) (g^4)
7. (4h^4k^5) (-6h^5k^3) (-3h^6k)
8. (-7a^4) (3a^2)^3
My math teacher told me that if I don't do this homework she will call my parents I'm so stupid when it comes to math pleaseeee I need help
True or false
1= false
2= false
3= true
4= true
5= false
6= true
7= true
8= false
Simplify each
1= a^11
2= b^12
3= c^16
4= 24b^18
5= -20e^9
6= -10f^3g^8
7= 72h^15k^9
8= -189a^10
True or False.
4. -11^2 = -11 * -11 = 121.
Simplify.
4.24d^18.
7. Not sure.
8. Not sure.
Sure, I can help you with your math homework! Let's go through each question one by one.
True or false:
1. (A^3)^2 = A^9 - False
To solve this, you need to multiply the exponents. In this case, (A^3)^2 means you multiply 3 by 2, which gives you A^6, not A^9.
2. (4^3 x 5^2) = 20^12 - False
Start by solving the exponentiation inside the parentheses: 4^3 = 64, and 5^2 = 25. Then, multiply these results together: 64 * 25 = 1600. Finally, raise 20 to the power of 12: 20^12. So, the statement is False because the two sides of the equation are not equal.
3. (B^9)^2 = (b^2)^9 - False
In this case, the exponents inside the parentheses represent different variables. B^9 has a capital "B," while b^2 has a lowercase "b." Therefore, the two sides are not equal, and the statement is False.
4. -11^2 = -121 - True
To solve this, you need to square the number 11 and then apply the negative sign. So, -11^2 equals -121, making the statement True.
5. (C^2)^3 = C^8 - True
To simplify (C^2)^3, you need to multiply the exponents: 2 * 3 = 6. Therefore, (C^2)^3 = C^6, not C^8. So, the statement is False.
6. (3^2 x 9)^3 = 3^12 - False
Start by calculating what's inside the parentheses: 3^2 x 9 = 9 x 9 = 81. Then raise 81 to the power of 3: 81^3. So, the statement is False because the two sides of the equation are not equal.
7. (2 + 3)^3 = 5^3 - True
Simplify both sides of the equation. On the left side, (2 + 3)^3 is equal to 5^3. Therefore, the statement is True.
8. (4 + 5)^3 = 4^3 + 5^3 - False
Start by simplifying both sides of the equation. On the left side, (4 + 5)^3 equals 9^3. On the right side, 4^3 + 5^3 equals 64 + 125. So, the statement is False because the two sides are not equal.
Now let's move on to the next part of your question where you need to simplify each expression.
1. A^4 x a^7
To simplify this expression, combine the variables with the same base and add their exponents. In this case, A^4 x a^7 simplifies to A^4+7, which is equal to A^11.
2. B^3 x b^4 x b^5
Similar to the previous expression, we combine the variables with the same base (B and b) and add their exponents. B^3 x b^4 x b^5 simplifies to B^3+4+5, which is equal to B^12.
3. c^4 x c^4 x c^8
For this expression, we multiply the variables with the same base (c) and add their exponents. c^4 x c^4 x c^8 simplifies to c^4+4+8, which equals c^16.
4. (3d^3) (2d^6) (4d^9)
To simplify this expression, we multiply the coefficients and combine the variables with the same base (d) by adding their exponents. (3d^3) (2d^6) (4d^9) simplifies to 3x2x4 * d^3+6+9, which gives us 24d^18.
5. (5e^5) (-4e^4)
For this expression, we multiply the coefficients and combine the variables with the same base (e) by adding their exponents. (5e^5) (-4e^4) simplifies to 5x(-4) * e^5+4, resulting in -20e^9.
6. (5f^2g) (-2fg^3) (g^4)
By multiplying the coefficients and combining the variables with the same base, we get (5f^2g) (-2fg^3) (g^4) = 5x(-2) * f^2 * g^1+3+4. This simplifies to -10f^2g^8.
7. (4h^4k^5) (-6h^5k^3) (-3h^6k)
For this expression, we multiply the coefficients and combine the variables with the same base. (4h^4k^5) (-6h^5k^3) (-3h^6k) simplifies to 4x(-6)x(-3) * h^4+5+6 * k^5+3+1, which results in 72h^15k^9.
8. (-7a^4) (3a^2)^3
For this expression, we multiply the coefficients and apply the exponent to the variable within the parentheses. (-7a^4) (3a^2)^3 simplifies to (-7) * 3^3 * a^4x2x3, which simplifies further to -189a^24.
I hope this explanation helps you with your math homework! If you have any more questions, feel free to ask.