Multiply. Write in scientific notation.
(1.1x10^-5)(3x10^-2)
A: 4.1x10^-7
B: 4.1x10^10
C: 3.3x10^-7
D: 3.3x10^10
To multiply, we first multiply the numerical coefficients:
1.1 x 3 = 3.3
Then we add the exponents:
(10^-5) x (10^-2) = 10^-7
So the final answer in scientific notation is:
3.3 x 10^-7
Therefore, the answer is C: 3.3x10^-7.
Simplify the expression.
8t^5x8t^5
A: 64t^25
B: 64t^10
C: 16t^10
D: 16t^5
When multiplying variables with exponents, you add the exponents.
So,
8t^5 x 8t^5 = 64t^(5+5) = 64t^10
Therefore, the answer is B: 64t^10.
simplify the expression.
-x(5x-4)
A: 4x^2-5x
B: -5x-4x
C: 5x+4x
D: -5x^2+4x
To distribute the negative sign, we have:
-x(5x-4) = -x(5x) - x(-4)
= -5x^2 + 4x
Therefore, the answer is D: -5x^2 + 4x.
Simplify the expression.
3k^2-(-2k^2-4k+7)
A: -6k^3-k+10k
B: -6k^4-12k^3+21k^2
C: k4-k^3+10k^2
D: 6k^4-12k^3+10k^2
To simplify, we can start by distributing the negative sign:
3k^2 - (-2k^2 - 4k + 7) = 3k^2 + 2k^2 + 4k - 7
From here, we can combine like terms by adding the k^2 terms and the constant terms:
= 5k^2 + 4k - 7
Therefore, the answer is C: 5k^2 + 4k - 7.