(2.2 ∙ 10–3)(4 ∙ 10–2)
A. 2.2 ∙ 106
B. 2.2 ∙ 10–5
C. 8.8 ∙ 106
D. 8.8 ∙ 10–5
The product is equal to (2.2 x 4) times (10^-3 x 10^-2) which simplifies to 8.8 x 10^-5. Therefore, the answer is D. 8.8 ∙ 10–5.
Simplify the expression.
8t5 ∙ 8t5
A. 64t25
B. 64t10
C. 16t10
D. 16t5
When multiplying two terms with the same base (in this case, both terms are 8t5), we add the exponents. So, 8t5 x 8t5 simplifies to (8 x 8) times (t5 x t5), which is 64t10. Therefore, the answer is B. 64t10.
Simplify the expression.
–x(7x – 8)
A. 6x2 – 9x
B. –7x – 8x
C. –7x2 + 8x
D. 7x + 8x
To simplify this expression, we need to distribute the -x to both terms inside the parenthesis:
-x(7x - 8) = -x(7x) + (-x)(-8)
= -7x^2 + 8x
Therefore, the answer is C. -7x^2 + 8x.
Simplify the expression.
3k2(–2k2 – 4k + 7)
A. –6k3 – k + 10k
B. –6k4 – 12k3 + 21k2
C. k4 – k3 + 10k2
D. 6k4 – 12k3 + 10k2
To simplify this expression, we need to distribute the 3k2 to all three terms inside the parenthesis:
3k2(-2k2 - 4k + 7) = -6k^4 - 12k^3 + 21k^2
Therefore, the answer is B. -6k4 - 12k3 + 21k2.
Simplify the expression.
(3k + 2)(k – 3)
A. 3k2 – 7k – 5
B. 3k2 – 7k – 6
C. 3k2 – 4k – 6
D. 3k2 – 4k – 5
To simplify the expression, we use the FOIL method, which stands for First, Outer, Inner, Last.
(3k + 2)(k - 3) = (3k)(k) + (3k)(-3) + (2)(k) + (2)(-3)
= 3k^2 - 9k + 2k - 6
= 3k^2 - 7k - 6
Therefore, the answer is B. 3k2 – 7k – 6.
Simplify the expression.
(–2y + 5)(y + 3)
A. –2y2 + 8y + 15
B. –2y2 – y + 15
C. 2y2 + 8y + 8
D. 2y2 – y + 8