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bagirrra123 [75]
3 years ago
15

3 2/3 x 5/6 = just help

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

3 2/3 x 5/6

11/3×5/6=55/18

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Which is the simplified form of (9c^-9)^-3<br> b 1/729 c^27
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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:

({a}^{m} )^{n}  =  {a}^{mn}

We use the law of exponents to get

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

Let us multiply in the exponents to get:

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

Recall again that:

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This implies that:

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

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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