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3 years ago

What is the value of (2/3)^-4

Mathematics

2 answers:

vovikov84 [41]3 years ago

7 0

Answer:

81/16

Step-by-step explanation:

Here the exponent is negative. If we were to invert (2/3), we'd get:

(3/2)^4

which is significantly easier to evaluate.

3^4 = 81 and 2^4 = 16. So the value of the given expression is 81/16.

tigry1 [53]3 years ago

3 0

Answer:

5.0625

Step-by-step explanation:

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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.

slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a) (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b) (f – g)(x) = 3x+8 -8x+3 = -5x +11

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h) (f/g)(27) = (3x+8)/(8x-3) = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

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2 years ago

Jack and jill painted one-half of Their bedroom in three-fourths of an hour. At this rate, how long would it take them the pain

zzz [600]

Well they painted HALF the room in 3/4 of an hour.

That means that, considering they keep up the same speed, it will take them 3/4 of an hour to do the OTHER half.

This means that it will take them....

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3 years ago

Read 2 more answers

Answer the question please, quickly.

Citrus2011 [14]

2/14x is the right answer.

3 0

3 years ago

Evaluate M^2 /p^2 for M = 10, N =-5p and P = -2

kondaur [170]

<u>Answer: </u>

The solution of $\bold{\frac{M^{2}}{P^{2}}}$ for M = 10, N = -5P and P = -2 is 25

<u>Solution: </u>

From question, given that the value of M is 10 and N is -5p and P is -2

We have to evaluate the value of $\frac{M^{2}}{P^{2}}$ ,

By substituting the values of M and N, we get

$\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$

Expanding $\bold{10^{2}}$ :

Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.

$10^{2} = 10 \times 10 = 100$

Similarly expanding $\bold{(-2)^{2}}$ :

Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.

$(-2)^{2} = -2 \times -2 = 4$

So the equation $\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$ becomes,

$\frac{M^{2}}{P^{2}} = \frac{100}{4}$

By dividing 100 by 4 , we get the result as 25

Hence the solution of $\bold{\frac{M^{2}}{P^{2}}}$ when M = 10 and P = -2 is 25

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MariettaO [177]

Answer:

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Step-by-step explanation:

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3 years ago