1. (m^2-m+3)+(m-1)
a. m^2-m-2**
b. m^2+2
c. m^2-2
d. m^2+m+2
2. (5x^2+x-3)-(-2x^3+4)
a. -2x^3+5x^2+x-7
b. -2x^3+5x^2+x+1**
c. 2x^3+5x^2+x-7
d. 2x^3+5x^2+x+1
3. f^2*f^3
a. f^5**
b. f^6
c. (2f)^5
d. (2f)^6
4. 64^10/64^5
a.64 10/5
b.64^50
c.64^15**
d.64^5
5. x^16/x^3
a.x 16/3
b.x^48**
c.x^19
d.x^13
6. 4^4 * 4^10
a. 4^14
b. 4^6
c. 4^40**
d. 4^10
7. 4^4 * 4^44
a. 4^176
b. 4^48**
c. 4^40
d. 4^28
8. 3^4/3^4
a. 3**
b. 0
c.1
d.4
9. 4^7/4^9
a.-16
b. 1/16
c. 1/8**
d. 8
#1 nope. Odd, since you got it right in your previous post.
#2 same comment
#3 ok
#4 nope - subtract powers when dividing
#5 same comment
#6 nope. Odd, since you got #3 right
#7 ok
#8 nope. look carefully. write out the products if you must. see what cancels in the division. Or, let = 3^4. Then you have u/u.
#9 Nope. 4^-2 = 1/4^2
4.d
5.d
that's better
1. To simplify the expression (m^2-m+3)+(m-1), we can combine like terms by adding the coefficients of the same degree.
- Combining the terms containing m^2, we have (1m^2 + 0m^2) which is equal to m^2.
- Combining the terms containing m, we have (-1m + 1m) which is equal to 0m.
- Combining the constant terms, we have (3 - 1) which is equal to 2.
Therefore, the simplified expression is m^2 + 2.
So, the correct answer is option b.
2. To simplify the expression (5x^2+x-3)-(-2x^3+4), we can distribute the negative sign to each term inside the parentheses.
- Distributing the negative sign, we have (-1*-2x^3 + -1*4) which becomes (2x^3 - 4).
Now, we can combine like terms by adding the coefficients of the same degree.
- Combining the terms containing x^3, we have (-2x^3 + 2x^3) which is equal to 0x^3.
- Combining the terms containing x, we have (1x + 0x) which is equal to x.
- Combining the constant terms, we have (-3 - 4) which is equal to -7.
Therefore, the simplified expression is 2x^3 + 5x^2 + x - 7.
So, the correct answer is option a.
3. To simplify the expression f^2 * f^3, we can use the exponent rules for multiplication. When multiplying two terms with the same base, we add their exponents.
- For f^2 * f^3, the base is f, so we can add the exponents: 2 + 3 = 5.
Therefore, the simplified expression is f^5.
So, the correct answer is option a.
4. To simplify the expression 64^10 / 64^5, we can use the exponent rule for division. When dividing two terms with the same base, we subtract their exponents.
- For 64^10 / 64^5, the base is 64, so we can subtract the exponents: 10 - 5 = 5.
Therefore, the simplified expression is 64^5.
So, the correct answer is option d.
5. To simplify the expression x^16 / x^3, we can use the exponent rule for division. When dividing two terms with the same base, we subtract their exponents.
- For x^16 / x^3, the base is x, so we can subtract the exponents: 16 - 3 = 13.
Therefore, the simplified expression is x^13.
So, the correct answer is option d.
6. To simplify the expression 4^4 * 4^10, we can use the exponent rule for multiplication. When multiplying two terms with the same base, we add their exponents.
- For 4^4 * 4^10, the base is 4, so we can add the exponents: 4 + 10 = 14.
Therefore, the simplified expression is 4^14.
So, the correct answer is option a.
7. To simplify the expression 4^4 * 4^44, we can use the exponent rule for multiplication. When multiplying two terms with the same base, we add their exponents.
- For 4^4 * 4^44, the base is 4, so we can add the exponents: 4 + 44 = 48.
Therefore, the simplified expression is 4^48.
So, the correct answer is option b.
8. To simplify the expression 3^4 / 3^4, we can use the exponent rule for division. When dividing two terms with the same base, we subtract their exponents.
- For 3^4 / 3^4, the base is 3, so we can subtract the exponents: 4 - 4 = 0.
Therefore, the simplified expression is 3^0. According to the exponent rule, any number (except zero) raised to the power of zero is equal to 1.
Therefore, the simplified expression is 1.
So, the correct answer is option c.
9. To simplify the expression 4^7 / 4^9, we can use the exponent rule for division. When dividing two terms with the same base, we subtract their exponents.
- For 4^7 / 4^9, the base is 4, so we can subtract the exponents: 7 - 9 = -2.
Therefore, the simplified expression is 4^(-2). According to the exponent rule, a positive number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent. In this case, it is 1/4^2.
Therefore, the simplified expression is 1/16.
So, the correct answer is option b.