1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Solnce55 [7]
3 years ago
10

Help this is really hard

Mathematics
2 answers:
Agata [3.3K]3 years ago
5 0

(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

9




Nata [24]3 years ago
3 0

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

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

You might be interested in
Two buses are traveling the same route toward a hotel. Bus 1 travels at a rate of 55 miles per hour This is bus two:
Charra [1.4K]

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

3 0
2 years ago
Anyone help me, please I need help<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%205%7D%20%20%3D%20%208%20%5Csqrt%5B%5
Ilya [14]

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

7 0
3 years ago
Out of 21 students in Mrs.Clarks class, 3/7 of the class are boys and 4/7 are girls. How many students in the class are girls an
lidiya [134]

Answer:

9 boys and 12 girls

Step-by-step explanation:

if you multiply the denominators by 3, you get "out of" 21. All you need to do after that is multiply the top by 3 as well and it tells you there are 9 boys and 12 girls.

8 0
3 years ago
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
Elena L [17]

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

7 0
2 years ago
Calculate the size of angle B with working I WILL MARK YOU AS BRAINLIEST
Sophie [7]

Answer:

24 degrees

Step-by-step explanation:

2b=180^o-132^o

2b=48^o

b=24^o

6 0
3 years ago
Other questions:
  • -2w^2+201.02=66.54<br> Round to the nearest hundredth
    10·1 answer
  • PLEASE HELP
    10·1 answer
  • A coffee pot holds 2 and 3/4 quarts of coffee. How much is this in cups?
    13·1 answer
  • The Moon Is 250,000 Miles Away. There Are 5,280 Feet In a Mile. Hkw Many Feet Is It From Earth ?
    9·1 answer
  • Obin can clean 72rooms in 6 days.<br><br>How many rooms can Robin clean in 9 days
    13·1 answer
  • What is 3 over 6 with a negative exponent of 1
    9·2 answers
  • 7.54 is rounded to..?
    7·1 answer
  • Solve this equation. Make sure your answer is fully reduced.<br><br> x + 4/7 = 3/8
    15·2 answers
  • Find the volume of the oblique cone shown round to the nearest tenth
    10·1 answer
  • Need help with the question that says how long is the string in centimeters.SHOW YOUR WORK!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!