9514 1404 393
Answer:
4² = 16
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
So, ...

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<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
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We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.
Answer: the slope would be a negative slope with -15 as the y intercept.
Step-by-step explanation:
Answer: -9°F
Step-by-step explanation:
From the question, we are told that the temperature at 6:00 am was -12 Fahrenheit and that the temperature increased by 1/2 Fahrenheit each hour for 6 hours.
The temperature, in degrees Fahrenheit, at noon would be:
= -12°F + 1/2(6)
= -12°F + 3°F
= -9°F
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>