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serious [3.7K]
3 years ago
12

Describe steps to simplify w(5w^3)^-2 / w^-4

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0
[w*(5w^3)^-2]/(w^-4)

first rules to consider a^(-b)=1/a^b, (a^b)^c=a^(b*c),   (a^b)*(a^c)=a^(b+c)

[w/(5w^3)^2]/(w^-4) 

(w*w^4)/(25w^6)

w^5/(25w^6)

Then you have the quotient rule for powers (a^c)/(a^b)=a^(c-b)

1/(25w)

which we could state as:

(25w)^(-1) :P
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What percent of 150 is 108?
N76 [4]
X% of 150 = 108

x/100 * 150 = 108

1.5x = 108

x =108 / 1.5

x = 72

Therefore 72% of 150 is 108

Hope this helps.
8 0
3 years ago
Which expression is equivalent to (5³) ‐²? (4 points)
miss Akunina [59]

Answer:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]

= (-3)3+4

= (-3)⁷

4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)

= m5+3

= m⁸

Step-by-step explanation:

exponential law

3 0
2 years ago
An ant looks up to the top of a tree at an angle of elevation of 40 degrees. If the ant is 30 feet from the base of the tree, wh
Alborosie
For the answer to the question above, this is a right triangle problem using the tangent function. 
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
5 0
3 years ago
Read 2 more answers
What is the average of 6 and 10?
kherson [118]

Answer:

j

Step-by-step explanation:

u

5 0
2 years ago
Read 2 more answers
The conservation club has 32 members. There are 18 girls in the club.
guapka [62]
The amount of girls in the club is 18 out of the 32 members.
To find the amount of boys there, we subtract 18 out of 32
32 - 18 = 14
so there are 14 boys in the club

Now to find the ratio of girls to boys...
18/14
simplified to 9/7 (option D.)

Hope this helps :)
3 0
2 years ago
Read 2 more answers
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