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Mrac [35]
3 years ago
6

Simplify the expression so there is only one positive power for each base. ​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

(5^{-2}\times 4^{-4})^{-2}

Since x^{-1}=\frac{1}{x} and \frac{1}{x^{-1}}=x

5^{2}=\frac{1}{5^{-2}}

4^{2}=\frac{1}{4^{-2}}

Therefore, (5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}

                                         =\frac{1}{(5^{-2})^2\times (4^{-4})^2}

                                         =\frac{1}{5^{-4}\times 4^{-8}}

                                         =\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}

                                         =5^{4}\times 4^{8}                            

Option (A) will be the answer.                                          

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Step-by-step explanation:

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8 0
3 years ago
H(-4), h(0), h(4), h(8)
DIA [1.3K]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

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6 0
3 years ago
1. -5(x - 2) - (x + 2) = 50
Serjik [45]

Answer:

x = - 7

Step-by-step explanation:

Given

- 5(x - 2) - (x + 2) = 50 ← distribute parenthesis on left side

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3 years ago
Read 2 more answers
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