I need help on this question

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

start by distributing the exponents outside the parenthesis. we would get:

(3^4)(m^-4)(n^8) / (2^3)(m^-6)(n^3)

first let's apply the exponents to the numbers (3 & 2) to get

81(m^-4)(n^8) / 8(m^-6)(n^3)

note that negative exponents are just flipped positive to the opposite side of the fraction. so (m^-4) in the numerator becomes (m^4) in the denominator. apply this and we get

81(m^6)(n^8) / 8(m^4)(n^3)

after we can simplify to reach

81(m^2)(n^5) / 8

You might be interested in

What fraction of a gallon is 3 pints?

mash [69]

1 gallon is equal to 8 pints
3/8 is 3 pints out of a gallon

5 0

4 years ago

6 divided by 885 what is the answer?

kolezko [41]

142.5 is the Answer

5 0

3 years ago

Read 2 more answers

If cos x= 5/13 and sin x <0 find cos (x/2) and sin (2x)

taurus [48]

We know that

if cos x is positive
and
sin x is negative
so
the angle x belong to the IV quadrant

cos x=5/13
we know that
sin²x+cos²x=1-------> sin²x=1-cos²x------> 1-(5/13)²---> 144/169
sin x=√(144/169)-------> sin x=12/13
but remember that x is on the IV quadrant
so
sin x=-12/13

Part A) <span>cos (x/2)
cos (x/2)=(+/-)</span>√[(1+cos x)/2]
cos (x/2)=(+/-)√[(1+5/13)/2]
cos (x/2)=(+/-)√[(18/13)/2]
cos (x/2)=(+/-)√[36/13]
cos (x/2)=(+/-)6/√13-------> cos (x/2)=(+/-)6√13/13
the angle (x/2) belong to the II quadrant
so
cos (x/2)=-6√√13/13

the answer Part A) is
cos (x/2)=-6√√13/13

Part B) sin (2x)
sin (2x)=2*sin x* cos x------> 2*[-12/13]*[5/13]----> -120/169

the answer Part B) is
sin(2x)=-120/169

4 0

3 years ago

100 students at a college went on a trip.One of these students is chosen at random what is the probability that this student wen

Reptile [31]

Answer: The probability that this student went to Paris = 31%

Step-by-step explanation:

Given: Total students = 100

Students went to Paris = 31

The probability that this student went to Paris = $\dfrac{\text{Number of students went to Paris}}{\text{Total students}}$