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Lisa [10]
3 years ago
7

How to find the number for using a equivalent expression for nx a

Mathematics
1 answer:
Simora [160]3 years ago
4 0
If N and A are defined, you multiply the value of N by the value of A.
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20 POINTS HELPPPPP
kiruha [24]

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

3 0
3 years ago
Read 2 more answers
Solve the system below by elimination -2x-9y=-25
xz_007 [3.2K]
I think it’s 2x+9y-25=0
3 0
3 years ago
Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...
Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

a_n = a_1 + (n - 1)d

Here, a_1 = -1

a_{75} = -1 + (75 - 1)(16)

a_{75} = 1183

3 0
3 years ago
Help me find the answer <br>Tan 0 and Cot O ​
vesna_86 [32]

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = (\sqrt{2}/2) / (\sqrt{2}/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

3 0
3 years ago
Ray is x years old. His brother Ron is y years older than Ray.
Daniel [21]
The sum will be x+y because their ages are variables.
8 0
3 years ago
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