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4 years ago

How would you solve this? (2^-2/3^3) PLEASE EXPLAIN

Mathematics

2 answers:

REY [17]4 years ago

5 0

9514 1404 393

Answer:

1/108

Step-by-step explanation:

Make use of the rule of exponents ...

a^-b = 1/a^b

$\dfrac{2^{-2}}{3^3}=\dfrac{1}{(2^2)(3^3)}=\dfrac{1}{4\cdot 27}=\boxed{\dfrac{1}{108}}$

If you type this expression into your calculator, you will get the repeating decimal ...

$\dfrac{2^{-2}}{3^3}=0.00\overline{925}=\dfrac{925}{99900}=\boxed{\dfrac{1}{108}}$

Some calculators will convert this to a fraction for you.

nekit [7.7K]4 years ago

4 0

Answer: 1/108

Step-by-step explanation:

2^-2 is 1/4

3^3 is 27

1/4 / 27 = 1/108

Simple maths

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A math class has 3 girls and 9 boys in the seventh grade and 7 girls and 3 boys in the eighth grade. The teacher randomly select

vladimir1956 [14]

Answer:

7/40

Step-by-step explanation:

There are 3 girls+9 boys = 12 students in the 7th grade

P (girl in 7th grade) = girls/ total

= 3/12 = 1/4

There are 7 girls+3 boys = 10 students in the 8th grade

P (girl in 8th grade) = girls/ total

= 7/10

P(7th grade girl, 8th grade girl) = 1/4 * 7/10 = 7/40

8 0

3 years ago

Solve for x.<br> −x+8=−9<br> Enter your answer as a number, like this: 42

Ymorist [56]

Answer:

x=17

Hope it helps;)

Step-by-step explanation:

Subtract 8 from both sides of the equation

-x+8=9

-x+8-8=9-8

Simplify

Subtract the numbers

x= -17

Divide both sides of the equation by the same term

x= 17

-x/-1= -17/-1

Simplify

Cancel terms that are both in the numerator and denominator

Divide the numbers

x = 17

8 0

3 years ago

Determine the pattern rule for the table and write it as an equation.

fomenos

Answer:

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

$y = mx+b$

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{65-75}{2-1}\\m = -10$

Putting the value of slope

$y = -10x+b$

Putting a pair of input-output in the equation (1,75)

$75 = -10(1) +b\\75 = -10+b\\b = 75+10\\b = 85$

Putting the value of b

$y = -10x+85$

Hence,

The rule is: y = -10x+85

6 0

3 years ago

What is the simplified form of (3x+2)(4x-3)? Use a table.

ehidna [41]

Answer:

Step-by-step explanation:

8 0

4 years ago

A pizza slice is cut into 8 equal slices.

Free_Kalibri [48]

Answer:

a. 1/8

b. 1/4

c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4

Step-by-step explanation:

8 0

3 years ago