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Vitek1552 [10]
3 years ago
12

Which expression is equivalent to a to the power of m divided by a to the n power

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Answer:

a^{m-n}

Step-by-step explanation:

If we have the expression m^a \div m^n, we can use exponent rules to simplify this.

Exponent rules say that x^a \div x^b = x^{a-b}. In this case, x is a, a is m and b is n, so the same rule applied here.

So  a^m \div a^n will be equal to a^{m-n}.

Hope this helped!

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An n-digit number is a positive number with exactly n digits. Nine hundred distinct n digit numbers are to be formed using only
kolbaska11 [484]

\underbrace{3\cdot3\cdot3\cdot\ldots}_{n}\geq900\\\\
3^n\geq900\\\\
\log_3 3^n\geq \log_3900\\\\
n\geq \log_3900\\\\
n\geq\dfrac{\ln 900}{\ln 3}(\approx6.2)

So, the least n is 7.

5 0
3 years ago
PLZ HELP!!!!!!! A sequence is defined by the recursive function f(n + 1) = f(n) – 2.
tensa zangetsu [6.8K]

Answer:

f(n + 1) = f(n) - 2 \\ n = 1 -  -  -  - f(1 + 1) =f(1) - 2 \:  \:  \:  -  -   - >   \:  \: f(2) = 10 - 2 = 8 \\ f(2) = 8 \\ n = 2 -  -  -  - f(2 + 1) = f(2) - 2 \:  \:  \:  -  -  -  >  \:  \:  \: f(3) = 8 - 2 = 6 \\ so \: f(3) = 6 \\ and \: we \: are \: done.

3 0
3 years ago
Calculate the perimeter and area of this shape.<br> Perimeter =
konstantin123 [22]
<h3><u>Answer</u><u>:</u></h3>

Perimeter → 25cm

Area → 25.5cm²

<h3><u>Explanation</u>:</h3>

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area =  > 3 \times  \frac{1}{2}  \times 2 + 3 \times 3.5 + 6 \times 2 = 3 + 12 + 10.5 = 25.5

7 0
2 years ago
Complete the statement, and find the value of x in the diagram. <br> help please!
hodyreva [135]
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A coral reef grows 0.17 m every week. How much does it grow in 8 weeks? Write your answer in millimeters
Dmitry_Shevchenko [17]

ANSWER

Find out the how much does it grow in 8 weeks

To proof

As given

A coral reef grows 0.17 m every week.

now for the 8 weeks

coral reef grows in the 8 weeks = 8× 0.17

                                                      = 1.36 m

As

1 meter = 1000 millimeter

To convert  growth of  coral reef  in the millimeter

=  1.36 × 1000

= 1360 millimeter

Hence  1360 millimeter be the coral reef grows  in 8 weeks

4 0
4 years ago
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