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Leya [2.2K]
3 years ago
10

How to simplify using the laws of exponents

Mathematics
1 answer:
leva [86]3 years ago
5 0
Here are the laws of exponents:

(a^b)^c = a^{bc}

(a^b) (a^c) = a^{b+c}

\frac{a^b}{a^c} = a^{b-c}

Hope that helps :)
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16x⁴-4x²-4x-1 and 8x³-1<br>HCF​
IgorLugansk [536]

Answer:

We have expanded formula of (-4x-1)² = a²+2ab+b².

So, we write the formula in square form as (a+b)².

Since we have a²-b² in step 4. We further write this as (a+b)(a-b). This is the factor formula of a²-b².

As we had two terms in place of in (a+b)(a-b), we multiply the term 'b' with '+' and '-' sign respectively.  

Write the second expression given in the question.

Write the terms in the form of cube.

Write the factor formula of a³-b³) in the form of (a-b)(a²+ab+b²).

Write the H.C.F. (Highest Common Factor) of the given expressions by analysing the factors you generated in each expressions. Here, (4x²+2x+1) are the common factors.

4 0
3 years ago
(3n^2-5n+6) + (-8n^2-3n-2)=
Aleksandr [31]

Answer:

-5n²-8n+4

Step-by-step explanation:

Remove Parentheses :

3n²-5n+6 - 8n²-3n-2

Collect/Combine Like terms:

(3n²-8n²) + (-5n-3n) +(6-2)

Simplify:

-5n²-8n+4

7 0
3 years ago
Please help, need help on problem will mark BRAINLIEST AND 5 STARS
horsena [70]

Answer: positive, linear association

Step-by-step explanation: that is the answer, because the dots are rising up in a slope

5 0
3 years ago
Read 2 more answers
Guys it is easy please write an explanation.<br> I will give brainliest answer to the best answer.
Gemiola [76]

Answer:

A.) 193

B.)191

C.)236

D.)128

Step-by-step explanation:

A)   12^2+(8-4)^3-15

       144+(64)-15

     208-15=193

B) (3*2)^3-5^2

    6^3=216-5^2

           216-25=191

I only showed work for A and B

Hope this helps !!

Mark brainlest please :)

       

7 0
2 years ago
The parallelogram shown below has an area of 54 units squared
Lelechka [254]

Answer:

the height is 6 units

Step-by-step explanation:

Given that

The area of the parallelogram is 54 units squared

The base is 9 units

We need to find out the height

As we know that

The area of the parallelogram = Base × height

54 =  9 × height

So, the height is

= 54 ÷ 9

= 6 units

Hence, the height is 6 units

7 0
3 years ago
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