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ruslelena [56]
3 years ago
7

Find the value of x. * 7x-1 + 6x-1 = 180

Mathematics
2 answers:
Len [333]3 years ago
6 0
I believe the answer is x=14
GREYUIT [131]3 years ago
3 0

answer:

<em>x  = 14</em>

explanation:

7x - 1 + 6x - 1 = 180

( group like terms )

7x + 6x - 1 - 1 = 180

( add like terms: 7x + 6x = 13x )

13x - 1 - 1 = 180

( subtract whole numbers: -1 - 1 = -2 )

13x - 2 = 180

( add 2 to both sides )

13x - 2 + 2 = 180 + 2

( simplify )

13x = 182

( divide both sides by 13 )

13x / 13 = 182 / 13

( simplify )

<em>x  = 14</em>

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<u>ANSWER</u>

(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}

<u>EXPLANATION</u>

The given expression is

(9 {c}^{ - 9} )^{ - 3}

Recall that:

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We use the law of exponents to get

(9 {c}^{ - 9} )^{ - 3}  = 9^{ - 3}  {c}^{ - 9 \times  - 3}

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(9 {c}^{ - 9} )^{ - 3}  = 9^{ - 3}  {c}^{ 27}

Recall again that:

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We expand the power to get:

(9 {c}^{ - 9} )^{ - 3}  =  \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}

(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729}  \times {c}^{ 27}

We multiply out to get:

(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}

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