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2 years ago

Simplify (3s^8)^-5 write your answer using only positive exponents. help please!!

Mathematics

1 answer:

loris [4]2 years ago

3 0

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator. So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

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IN (3)

svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) $y =2x +5$

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

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Make y the subject

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Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

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As solved in (a), the rule is:

$y =2x +5$

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