1) What is the value of 19 + 5a^4 + 3b^2 when a = 2 and b = -4?
(this is not a multiple choice question) but my answer is 147.
2)Combine the like terms to simplify the expression: 4 + 7xy^2 + 5y^3 + 10x -4xy^2 - 8x - 4y^3 + 9
- y^6 + 3x^2y^2 + 10x + 13
- y^3 + 3xy^2 + 2x + 13
- y^3 + 3xy^2 + 10x + 13 *my answer*
- y^3 - 3xy^2 + 2x + 9
3) Which is equal to 4^2 x 4^8
- 4^16
- 4^10 *my answer*
- 4^6
- 4^-6
1) 19 + 5 (16) + 3(16) = 19 + 80 + 48 = 147 (agree)
2) y^3 + 3xy^2 + 2x +13
10x -8x = 2x
3) Right
1) To determine the value of the expression 19 + 5a^4 + 3b^2 when a = 2 and b = -4, you can substitute the given values into the expression and then evaluate it.
Substituting a = 2 and b = -4 into the expression, we have:
19 + 5(2)^4 + 3(-4)^2
Simplifying further, we get:
19 + 5(16) + 3(16)
19 + 80 - 48
99
Therefore, the correct value is 99, not 147.
2) To combine the like terms in the expression 4 + 7xy^2 + 5y^3 + 10x - 4xy^2 - 8x - 4y^3 + 9, you need to add or subtract the coefficients of terms with the same variables and exponents.
Combining the like terms, we have:
4 + 10x - 8x + (7xy^2 - 4xy^2) + (5y^3 - 4y^3) + 9
Simplifying further, we get:
13 + 2x + 3xy^2 + y^3
So, the correct simplified expression is: - y^3 + 3xy^2 + 2x + 13.
3) To find the value of 4^2 x 4^8, you can use the exponent rule which states that when multiplying powers with the same base, you add the exponents.
In this case, we have: 4^2 x 4^8
Applying the exponent rule, we add 2 and 8: 4^(2+8) = 4^10.
Therefore, the correct answer is 4^10, not 4^16, 4^6, or 4^-6.