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leva [86]
3 years ago
13

Simplify the following expression

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

  1. -17.9
  2. 2n -7.4

Step-by-step explanation:

In each case, the only "like" terms are the constants. They are added together in the usual way.

1. -2.8 +0.9 -12 -4 = 0.9 -(2.8 +12 +4) = 0.9 -18.8 = -17.9

2. 2n +5.5 -0.9 -8 -4 = 2n +5.5 -(0.9 +8 +4) = 2n +5.5 -12.9 = 2n -7.4

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Answer:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

Step-by-step explanation:

We want to simplify:

( - 2 {x}^{4} {y}^{ - 3} )^{4}

We need to apply the exponential property for products of powers.

Recall that:

( {a}^{m}  \times  {a}^{n} )^{p}  =  {a}^{mp}  \times  {a}^{np}

We apply this rule to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = ( { - 2)}^{4} x \times {x}^{16}  \times {y}^{ - 12}

This simplifies to:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = 16 {x}^{16}  \times {y}^{ - 12}

We rewrite as positive index to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

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Simplify. (x6 y3)(−8xy2)(−6x3)
meriva
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