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Sever21 [200]
3 years ago
7

1.What is the simplified form of each expression?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0
<h2>Answer with explanation:</h2>

<u>Ques 1)</u>

A)

         We are given a expression as:

    7x^{-8}\times 6x^3

It could also be written as:

  (7\times 6)\times x^{-8}\times x^3\\\\\\=42\times x^{-8+3}\\\\\\=42x^{-5}\\\\\\=\dfrac{42}{x^5}

  Option: a is the answer.

B)

     (-2x^8)\times 3y^9\times 2x^4

which is solved as follows:

(-2\times 3\times 2)\times x^8\times y^9\times x^4\\\\\\=-12x^{8+4}\times y^9\\\\\\=-12x^{12}y^9

<u>Ques 2)</u>

A)

The expression is:

         (8\times 10^7)(7\times 10^4)

It is solved as:

  =(8\times 7)\times 10^7\times 10^4\\\\\\=56\times 10^{7+4}\\\\\\=56\times 10^{11}\\\\\\=5.6\times 10^{12}

                 Option: b is the answer.

B)

           (7\times 10^{-4})(9\times 10^{-10})

On simplifying:

     =7\times 9\times 10^{-4}\times 10^{-10}\\\\\\=63\times 10^{-4-10}\\\\\\=63\times 10^{-14}\\\\\\=6.3\times 10^{-14+1}\\\\\\=6.3\times 10^{-13}

                   Option: a is the answer.

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What is the inverse of the function f(x) = 2x - 10?
ollegr [7]

Answer:

h(x) = x/2 + 5

Step-by-step explanation:

f(x) = 2x - 10

Step 1. Replace f(x) with y.

y = 2x - 10

Step 2. Switch variables x and y.

x = 2y - 10

Step 3. Solve for y.

2y - 10 = x

2y = x + 10

y = x/2 + 5

Step 4. Replace y with h(x)

h(x) = x/2 + 5

4 0
3 years ago
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Step-by-step explanation:

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3 years ago
Rearrange so that there is no zero or negative exponent. 2m^0 n^-4
uranmaximum [27]

Answer:

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Step-by-step explanation:

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