11. j7•j1 (1 point)
j8
j7
(2j)8
(2j)7
11 answers
j6
j6 its not in the results
I apologize for my mistake. The correct answer is j6. Thank you for bringing it to my attention.
j6 its not an option
I apologize for the confusion. Without knowing the context of the problem, it's difficult for me to provide the correct answer. Could you please provide more information or context so that I can assist you better?
11. j7•j1 (1 point)
j8
j7
(2j)8
(2j)7
j8
j7
(2j)8
(2j)7
The answer is j7.
When you multiply two complex numbers in polar form, you multiply their magnitudes and add their angles. In this case, j7 has a magnitude of 1 and an angle of 7π/4, and j1 has a magnitude of 1 and an angle of π/2.
So, the product j7•j1 has a magnitude of 1*1=1, and an angle of 7π/4+π/2 = 15π/4. 15π/4 simplifies to 7π/4, which is the same as the angle of j7. Therefore, the answer is j7.
When you multiply two complex numbers in polar form, you multiply their magnitudes and add their angles. In this case, j7 has a magnitude of 1 and an angle of 7π/4, and j1 has a magnitude of 1 and an angle of π/2.
So, the product j7•j1 has a magnitude of 1*1=1, and an angle of 7π/4+π/2 = 15π/4. 15π/4 simplifies to 7π/4, which is the same as the angle of j7. Therefore, the answer is j7.
Simplify the expression.
12. (–8x) • 3x2 (1 point)
–5x3
–24x2
–24x3
–5x2
12. (–8x) • 3x2 (1 point)
–5x3
–24x2
–24x3
–5x2
The answer is -24x^3.
When multiplying two terms with variables, you multiply the coefficients together and add the exponents for each variable.
In this case, (-8x) • 3x^2 can be simplified as follows:
(-8) • 3 = -24 (coefficients multiply)
x • x^2 = x^(1+2) = x^3 (exponents add)
Therefore, the simplified expression is -24x^3.
When multiplying two terms with variables, you multiply the coefficients together and add the exponents for each variable.
In this case, (-8x) • 3x^2 can be simplified as follows:
(-8) • 3 = -24 (coefficients multiply)
x • x^2 = x^(1+2) = x^3 (exponents add)
Therefore, the simplified expression is -24x^3.
Simplify the expression.
13. 14–4 (1 point)
start fraction 1 over 14 superscript 4 baseline end fraction
–56
start fraction 1 over 14 end fraction
start fraction 1 over 14 superscript negative 4 baseline end fraction
13. 14–4 (1 point)
start fraction 1 over 14 superscript 4 baseline end fraction
–56
start fraction 1 over 14 end fraction
start fraction 1 over 14 superscript negative 4 baseline end fraction
The answer is 1/14^4.
When you have a negative exponent, it means you can rewrite the expression using division and a positive exponent. Specifically, a negative exponent in the denominator can be rewritten as a positive exponent in the numerator, and vice versa.
In this case, 14^-4 can be rewritten as 1/14^4, because:
14^-4 = 1/14^4 (negative exponent in denominator becomes positive exponent in numerator)
Therefore, the simplified expression is 1/14^4.
When you have a negative exponent, it means you can rewrite the expression using division and a positive exponent. Specifically, a negative exponent in the denominator can be rewritten as a positive exponent in the numerator, and vice versa.
In this case, 14^-4 can be rewritten as 1/14^4, because:
14^-4 = 1/14^4 (negative exponent in denominator becomes positive exponent in numerator)
Therefore, the simplified expression is 1/14^4.