Express
$2 ^( - 7)$
using a positive exponent.

Answers

Answer 1

Answer:

Answer:

$(1)/(2^7)$

Step-by-step explanation:

To express the number 2⁻⁷ with a positive exponent, we'll make use of the properties of exponents and their relationship with reciprocals.

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Here's a list of the exponent properties:

$\boxed{\left\begin{array}{ccc}\text{\underline{Properties of Exponents:}}\n\n1.\ a^0=1\n\n2.\ a^m * a^n=a^(m+n)\n\n3.\ a^m / a^n \ ((a^m)/(a^n) )=a^(m-n)\n\n4.\ (ab)^m=a^mb^m\n\n5.\ (a/b)^m=a^m/b^m\n\n6.\ (a^m)^n=a^(mn)\n\n7.\ a^(-m)=1/a^m\n\n8.\ a^(m/n)=(\sqrt[n]{a} )^m\end{array}\right}$

In our case, we will use the reciprocal identity (#7 on the table above).

$a^(-m)=(1)/(a^m) \n\n\n\n\therefore 2^(-7)=\boxed{(1)/(2^7) }$

Thus, we can represent 2⁻⁷ as a positive exponent .

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Seriously can any1 help me

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

What is the value of x?

Enter your answer in the box.
x =

Answers

Answer: The answer to your question is 43.75

I found this because 56/44.8 is 1.25

44.8 x 1.25 is 56

35x1.25= 43.75

Step-by-step explanation:

The correct answer is 24.

Teach me how to ''write each rational number in a form a/b where a and b are integers

Answers

write the number over its next next factor of 10. Then multiply by 10s to get rid of the decimal (if there is). Then just simplify.

Plz find the value of x (i never paid attention on this!)

2x + 6

Answers

Answer:

2(x+3)

Step-by-step explanation:

hope i help you :)

Answer:

X=3

Step-by-step explanation:

3 times 2 is 6.

Solve by graphing
y= -4x+5
y=3x-2

Answers

y = -4x + 5
y = 3x - 2

-4x + 5 = 3x - 2
+ 4x    + 4x
   5 = 7x - 2
      + 2 + 2
   7 = 7x
   7    7
   1 = x
   y = -4x + 5
   y = -4(1) + 5
   y = -4 + 5
   y = 1
   (x, y) = (1, 1)

in how many ways can 6 people work at 3 different offices if 2 people are in each office and 2 individuals refuse to work together?