3 years ago

Please answer the below...

Mathematics

1 answer:

solniwko [45]3 years ago

4 0

Here you go, hope it helps :)

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Use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?

Talja [164]

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Answer:

4² = 16

Step-by-step explanation:

The applicable rule of exponents is ...

1/a^-b = a^b

So, ...

$\dfrac{1}{4^{-2}}=\boxed{4^2 = 16}$

_____

<em>Additional comment</em>

If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:

1/4^-2 = 1/(1/16)

Then, you would do the division.

1/(1/16) = 16

We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.

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2 years ago

<img src="https://tex.z-dn.net/?f=3%5En%5E%2B%5E1%2B9%2F3%5En%5E-%5E1%2B1" id="TexFormula1" title="3^n^+^1+9/3^n^-^1+1" alt="3^n

abruzzese [7]

Answer:

Hello,

Step-by-step explanation:

$\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\$

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2 years ago

Annie earns $7.50 per hour working after school. She needs at least $185 for a stereo system. Write an inequality that describes

Lyrx [107]

Answer:

7.50x=185

Step-by-step explanation:

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2 years ago

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X^2-x+12 solve using the quadratic formula

devlian [24]

The quadratic formula is $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ .

From the problem, a is 1, b is -1, and c is 12. Plugging in these values gives:

$x=\frac{-(-1(-1)\pm\sqrt{(-1)^2-4(1)(12)} }{2(1)}$

Because there is a square root of a negative number, there is no solution.

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3 years ago

Which value is equivalent to 12 + 24 ÷ 3? A) 8 B) 12 C) 20 D) 36

Montano1993 [528]

Answer:

c.20

Step-by-step explanation:

first step:24÷3=8

final step: 12+8=20

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3 years ago

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