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3 years ago

Plzzzzzzz helpppppppppppppp

Mathematics

1 answer:

Katarina [22]3 years ago

6 0

Answer:

144

Step-by-step explanation:

i think if i am wrong dont judge

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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

What is the answer to 8x^3+125 by factoring the perfect cube?

expeople1 [14]

Answer:

$\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}$

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

3 0

3 years ago

How to solve 11×11-6×17+4

almond37 [142]

use the order of operations for this equation.

multiplication comes first.

11(11) - 6(17) + 4

121 - 102 + 4

for addition and subtraction, order doesn’t matter.

121 - 102 = 19

19 + 4 = 23

answer = 23

8 0

3 years ago

What is-3/7x-2 in standard form

Eddi Din [679]

If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...

y = (-3/7)x-2
7*y = 7*( (-3/7)x-2) ... multiply both sides by 7
7y = -3x-14 ... distribute and multiply
7y+3x = -3x-14+3x ... add 3x to both sides
3x+7y = -14

The standard form equation is 3x+7y = -14

3 0

3 years ago

Help! answer choices a)-16/3 b)-2 c)2 d)16/3

LiRa [457]

Answer: c

Step-by-step explanation:

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3 years ago