MATHEMATICS MIDDLE SCHOOL

Help this is really hard

Answers

Answer 1

Answer:

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12 * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12 * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

Answer 2

Answer:

$(2^8\cdot3^(-5)\cdot6^0)^(-2)\cdot\left((3^(-2))/(2^3)\right)^4\cdot2^(28)\n\n\text{use}\n(a\cdot b)^n=a^n\cdot b^n\n(a^n)^m=a^(nm)\n\left((a)/(b)\right)^n=(a^n)/(b^n)\n a^0=1\ for\ a\neq0\n\n=(2^8)^(-2)\cdot(3^(-5))^(-2)\cdot1^(-2)\cdot((3^(-2))^4)/((2^3)^4)\cdot2^(28)=2^((8)(-2))\cdot3^((-5)(-2))\cdot1\cdot(3^((-2)(4)))/(2^((3)(4)))\cdot2^(28)$

$=2^(-16)\cdot3^(10)\cdot(3^(-8))/(2^(12))\cdot2^(28)=(2^(-16)\cdot2^(28))/(2^(12))\cdot3^(10)\cdot3^(-8)\n\n\text{use}\ a^n\cdot a^m=a^(nm)\n\n=(2^(-16+28))/(2^(12))\cdot3^(10+(-8))=(2^(12))/(2^(12))\cdot3^2=1\cdot3^2=3^2=9\n\nAnswer:\ \boxed{9}$

Related Questions

How can estimating quotients help you to place the decimal correctly
Find the value of the expression 3m^2 + 2p^2 - 15 when m= 3 and p= 10A) 27B) 200C) 212D) 225
A boy runs 9/10 of a mile in 5 minutes. How many miles does he run in 1 minute?
PLEASE HELP!!!!!!!!!!!!!!
Convert 18/40 to a decimal

To change a temperature in degrees Celsius, C, to a temperature in degrees Fahrenheit, F, the equation below can be used.F = 9/5C+32

Select the state that best describes this equation.

A. The equation is a nonlinear function.
B. The equation is not a function.
C. The equation is a linear function.

Answers

equation of line has form of y=kx±b, so

Answer: C

Answer:

Step-by-step explanation:

i'm doing a test right now on this question

Solve the system of equations and choose the correct answer from the list of options. (4 points)x − y = 7
y = 3x + 12

Select one:
a. 2 /19 comma 2 / 33
b. negative 2 / 19 comma negative 33 / 2
c. negative 19 / 2 comma negative 33 / 2
d. 19 / 2 comma 33 / 2

Answers

Answer:

c. negative 19 / 2 , negative 33 / 2

Step-by-step explanation:

x − y = 7

y = 3x + 12

Substitute y = 3x + 12 into x − y = 7

x − (3x + 12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 19

x = -19/2

Substitute x = -5/2 into x − y = 7

-19/2 − y = 7

y = -19/2 - 7

y = - 5/2 - 14/2

y = -33/2

Answer:

x = -19/2, y = -33/2

a satellite television provides charges 39.95 per month for service. on demand movies can be rented for 3.99 each. broadcasts of special events can be rented for 49.95 each. write an expression to represent the total monthly cost if you rent m movies and s special events

Answers

39.95 + 3.99m + 49.95s

total monthly cost= monthly service fee + (number of movies rented, m)x(cost of movies rented) + (broadcasts of special events)x(number of broadcasts of special events, s)

with that information, when you plug in the numbers you get:

total monthly cost = (3.99)(m) + (49.95)(s) + 39.95

you can also write it as:
3.99m + 49.95s +39.95 = total monthly cost

What is 2940 and 588 into fraction form