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2 years ago

What is the common rule for simplifying a negative exponent with a coefficient? Ex: 3^-1

Mathematics

2 answers:

Sergeeva-Olga [200]2 years ago

4 0

<h2>Answer:</h2>

<u>Negative exponents in the numerator get moved to the denominator and become positive exponents</u>

<h2>Step-by-step explanation:</h2>

In any problem where the exponent is given in negative can be solved by taking negative exponents in the numerator to the denominator and become positive exponents.

For instance the given problem can be solved as writing 3 ^ -1 as 1/3

So the rule is moving the exponent to the denominator and make it positive

rjkz [21]2 years ago

3 0

Anything to a negative power becomes the inverse with the coefficient to a positive power.
For example, 3^-1 becomes 1/3^1 or just 1/3.
3^-2 would be 1/3^2 or 1/9.

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Step-by-step explanation:

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2 years ago

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2 years ago

8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4

nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

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Now, let us find the slope of the given line equation.

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So, 1 $\times$ slope of perpendicular line = -1

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$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$

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Step-by-step explanation:

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