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Vesna [10]
2 years ago
7

Find the exact values of the following, giving your answers as fractions.

Mathematics
1 answer:
uysha [10]2 years ago
5 0

Answer:

Step-by-step explanation:

The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.

3^{-2}=\frac{1}{3^2}=\frac{1}{9}

Do that for the next 2:

4^{-3}=\frac{1}{4^3}=\frac{1}{64}

and

2^{-6}=\frac{1}{2^6}=\frac{1}{64}

You might be interested in
Use the rational root theorem to list all possible rational roots for the equation.
Alik [6]

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


5 0
2 years ago
Read 2 more answers
1. For the function f(x) = 5, determine each of the following values.
Bess [88]

Answer:

f(4) = 5

Step-by-step explanation:

f(x) = 5.

Whatever value of x you input to the function , the function's value is always 5.

This is seen when you examine the graph of f(x) = 5. It is a straight horizontal line passing through y = 5. For every value of x along the line, f(x) = y = 5.

8 0
3 years ago
Find the height of the tree.
jenyasd209 [6]

Answer:

22.27

Step-by-step explanation:

tan(35) = opp/adj

tan(35) = x/47

47tan(35) = x

x = 22.27

not sure of the units

6 0
2 years ago
A diagonal of a cube measures 294 cm. The diagonal of a face measures 14 cm. What is the length of an edge of the cube? Round to
miv72 [106K]

Answer:

The answer is 9.9

4 0
2 years ago
Read 2 more answers
What is the solution to the equation? (-9x+5)^1/2=(3+4x)1/2
Phoenix [80]
<span>x in (-oo:+oo)

((5-9*x)^1)/2 = ((4*x+3)^1)/2 // - ((4*x+3)^1)/2

((5-9*x)^1)/2-(((4*x+3)^1)/2) = 0

(5-9*x)/2-((4*x+3)/2) = 0

(5-9*x)/2+(-1*(4*x+3))/2 = 0

5-1*(4*x+3)-9*x = 0

2-13*x = 0

(2-13*x)/2 = 0

(2-13*x)/2 = 0 // * 2

2-13*x = 0

2-13*x = 0 // - 2

-13*x = -2 // : -13

x = -2/(-13)

x = 2/13

x = 2/13</span>
4 0
3 years ago
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