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
maksim [4K]
3 years ago
8

I am having trouble doing this problem ​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

Step-by-step explanation:

A. when you multiply exponents with a common base you keep the base and add the exponents. In this case you would keep the 6 and add the -5 and 2 so the answer would be:

6^-3 which is not equivalent

B. You can distribute the exponent in to the parenthesis.

(1^5)/(6^2)^5

when you have an exponent to an exponent you mutliply. so the answer would be:

1^5/6^10

1^5 is always going to be 1 so you actually have:

1/6^10

when the exponent is on the bottom you can bring it to the top by making it negative, so the final answer for B is:

6^-10 which is equivalent

C. Same rules as B, multiply an exponent to an exponent.

6^(-5*2) = 6^-10 which is equivalent

D. When you are dividing exponents with a common base you subtract the top and bottom exponents. So in this case you have:

6^(-3-7) = 6^-10 which is equivalent

E. Using the rules from eariler the numerator can be simplified by adding the exponents.

6^5 * 6^-3 = 6^(5-3) = 6^2

which leaves you with:

6^2/6^-8

From there you can either bring the 6^-8 to the numberator to make it positive which simplifies to:

6^2 * 6^8 = 6^(2+8) = 6^10 which is not equivalent

or you can subtract the top and bottom exponents:

6^2/6^-8 = 6^(2-(-8))

the double negative cancels to a positive and you getL

6^(2+8) = 6^10 which is not equivalent

so B, C, and D are equal to 6^-10

You might be interested in
The expression 1/2 H B1 + B2 use the area of a trapezoid with B1 and B2 representing the two bases length of a trapezoid and h r
Oxana [17]

Answer:

40

Step-by-step explanation:

1/2* 8 (4 + 6)  equation

4 (10)  simplify

40


7 0
3 years ago
Read 2 more answers
-x+4x-9=8x+6 what’s X?
Xelga [282]

Answer:

X= -3

Step-by-step explanation:

3x-9=8x+6

3x-8x=6=9

-5x=15

x=-3

7 0
2 years ago
Read 2 more answers
1+secA/sec A = sin^2 A / 1-cos A​
Fofino [41]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}

\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}

\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}

\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}

\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark

3 0
3 years ago
In a lab experiment, 2400 bacteria are placed in a petri dish. Due to the conditions, the
o-na [289]

Answer:

38,400 bacteria

Step-by-step explanation:

Because there are 24 hours in a day, it will double 4 times

2400times 2 equals 4800 (1st)

4800 times 2 equals 9600 (2nd)

9600 times 2 equals 19200 (3rd)

19200 times 2 equals 38400 (4th)

5 0
3 years ago
What is the area of a triangle that has a
almond37 [142]

Answer:

A. 45 in

Step-by-step explanation:

To find area you multiply length and width so you would multiply 9 and 10 but since it is a triangle you would divide by two

Hope this helps!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Anybody have a real answer to the question?
    7·1 answer
  • Please help me with this problem, and can you also show steps. thank you
    7·2 answers
  • What is the slope of the line through the points (1,3) and (4,-1)?
    5·2 answers
  • If the measure of angle S is 40 degrees, what must the measure of angle T be in order for the two angles to be supplementary?
    6·1 answer
  • Date
    10·2 answers
  • a trail mix recipe is 15% raisins. if Tom wants to make 20 cups of trail mix, what amount of raisins will he need?
    15·1 answer
  • HELP!<br> . . . . . . . . . .
    8·1 answer
  • Which algebraic expression represents “the quotient of a number and thirty”?
    12·2 answers
  • A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, wh
    11·1 answer
  • The cost of kg of apples is $262.50. find the cost of 25 kg of apples
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!