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
kodGreya [7K]
2 years ago
9

Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 tim

es 6 times 6 / 6 times 6 times 6 c: 6^4/6^2 d: 6^5 times 6^7/6^10
Mathematics
2 answers:
bearhunter [10]2 years ago
4 0

Answer:

acd

Step-by-step explanation:

Kamila [148]2 years ago
3 0

Question:

Select the three expressions that are equivalent to 6^2:

a: (\frac{6^9}{6^8})^2

b: \frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }

c: \frac{6^4}{6^2}

d: \frac{6^5 * 6^7}{6^{10}}

Answer:

a: (\frac{6^9}{6^8})^2

c: \frac{6^4}{6^2}

d: \frac{6^5 * 6^7}{6^{10}}

Step-by-step explanation:

Given

6^2:

Required

Find equivalent expressions

<em>To solve this question; we'll simplify options a to do, one after the other</em>

a: (\frac{6^9}{6^8})^2

From laws of indices;

\frac{a^m}{a^n} = a^{m-n}

This implies that;

(\frac{6^9}{6^8})^2 = (6^{9-8})^2

(\frac{6^9}{6^8})^2 = (6^{1})^2

From laws of indices;

{a^m}^n = a^{m*n} = a^{mn}

This implies that

(\frac{6^9}{6^8})^2 = (6^{1*2})

(\frac{6^9}{6^8})^2 = 6^{2}

Hence,  (\frac{6^9}{6^8})^2 is equivalent to 6^2

b. \frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }

From laws of indices;

a^m * a^n = a^{m+n}

This implies that

\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }  = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}

\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }  = \frac{6^{6}}{6^{3}}

From laws of indices;

\frac{a^m}{a^n} = a^{m-n}

This implies that

\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }  = 6^{6-3}

\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }  = 6^{3}

Hence; \frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } is not equivalent to 6^2

c.  \frac{6^4}{6^2}

From laws of indices;

\frac{a^m}{a^n} = a^{m-n}

This implies that

\frac{6^4}{6^2} = 6^{4-2}

\frac{6^4}{6^2} = 6^{2}

Hence, \frac{6^4}{6^2} is equivalent to 6^2

d.  \frac{6^5 * 6^7}{6^{10}}

From laws of indices;

a^m * a^n = a^{m+n}

This implies that

\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}

From laws of indices;

\frac{a^m}{a^n} = a^{m-n}

This implies that

\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}

\frac{6^5 * 6^7}{6^{10}} = 6^{2}

Hence, \frac{6^5 * 6^7}{6^{10}} is equivalent to 6^2

You might be interested in
Mistery number . CLUES: -it has the digits 8,5 and 6 . - it is a odd number . - it has 8 in the hundreds place . WHAT IS THE MIS
Ipatiy [6.2K]
With digits 8, 5, and 6, an odd number must end in 5.
So far, we have _ _ 5.
The 8 is in the hundreds place.
Now we have 8_5.
The only place left for the 6 is the tens place.
The number is 865.

6 0
2 years ago
A 29- m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 . Find the length
prohojiy [21]

Answer:

About 17.7 meters.

Step-by-step explanation:

This can be solved by imagining the triangle formed by the building and its shadow. The hypotenuse of the triangle, the distance from the tip of the building to the tip of the shadow, is 34 meters, and one of the legs is 29 meters. Therefore, we can use the Pythagorean theorem to find that the third side is . Hope this helps!

6 0
2 years ago
John works 6.50 per hour. he worked 40.0 hours last week. what amput is on his check?
qaws [65]

Answer:

40 * 6.5 = 260 --> D. 260.00

7 0
2 years ago
Read 2 more answers
) Fred buys a video game disk for $4. There was a discount of 20%.What is<br> the sales price?
dolphi86 [110]

Answer:

so 4 dollars is discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

6 0
2 years ago
Read 2 more answers
A number minus the product of 36 and its reciprocal is less than zero. Find the numbers which satsify this condition​
svetlana [45]

Answer:

A number minus the product of

4

and its reciprocal is less than zero. Find the numbers which satisfy this condition.

AAny number less than

−

2

or between

0

and

2

BAny number between

−

2

and

2

CAny number less than

2

DAny number between

0

and

2

Solution

Let the number be x

Then

x

−

(

4

×

1

x

)

≤

0

⇒

x

≤

4

x

⇒

x

2

≤

4

⇒

|

x

|

≤

2

⇒

−

2

≤

x

≤

2

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Tiffany bought a paor of shoes at Macy's for $50.98 Amanda bought thr same pair of shoes at Payless for $35.42 How much did Aman
    8·1 answer
  • 2/3 rational or irrational
    7·1 answer
  • Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be
    9·1 answer
  • Which conclusion can be drawn from the dot plots below with regard to the number of hours spent on science homework and English
    5·1 answer
  • What is the solution to the following system? (picture)
    6·1 answer
  • In the year 2006, a person bought a new car for $18000. For each consecutive year after that, the value of the car depreciated b
    5·1 answer
  • If I get paid $28,333 a month and I spend 30% of my $28,333 how much money would I have left?
    12·1 answer
  • Any help would be cool thanks
    13·1 answer
  • Find the distance between the points A(-4, -3) and B(-8, 7). Round your answers to the nearest tenth.
    14·1 answer
  • X divided by 6/7 = 3 and 3/4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!