n has a negative exponent, so you need to rewrite the expression using the negative exponent rule b^-n = 1/b^n
(m^8 1/n^4)^1/4
Now make m^8 a fraction buy giving it a denominator of 1:
(m^8 / 1 1/n^4)^1/4
Multiply the fractions together to get m^8/n^4
Now divide the exponents by 4 to get the final answer of:
m^2/n
Answer:
B. -2
Step-by-step explanation:
-6x = 5x + 22
Put the like terms together, so subtract 5x from the right side. This will result in the new equation, -11x = 22
Now, divide by -11. This will result in the final equation, x = -2
The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β
<h3>What are Trigonometric Ratios ?</h3>
In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.
The trigonometric expression given in the question is
(1+cosβ)(1−cosβ)sinβ
(a+b)(a-b) = a² - b²
( 1 - cos²β)sinβ
By the trigonometric Identity
1-cos²β = sin² β
sin² β x sin β
sin³β
Therefore Option B is the correct answer.
To know more about Trigonometric Ratio
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Answer:
28/3 or 9⅓
Step-by-step explanation:
2/3 = x/14
x = 2×14/3
x = 28/3
Answer:
True
True
False
Step-by-step explanation:
TRUE
If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n × n identity matrix
Here's why
If the equation Ax = 0 has only the trivial solution the determinant of the matrix is NOT 0 and the matrix is invertible therefore it is row equivalent to the nxn identity matrix.
TRUE
If the columns of A span ℝ^n , then the columns are linearly independent
Here's why
Remember that the rank nullity theorem states that
According to the information given we know that
Therefore you have
and
Which is equivalent to the problem we just solved.
FALSE
If A is an n × n matrix, then the equation Ax = b has at least one solution for each b in ℝ^n
Here's why
Take b as a non null vector and A=0, then Ax = 0 and Ax=b will have no solution.