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Lana71 [14]
3 years ago
12

Anyone know what the answer to this is?

Mathematics
2 answers:
MariettaO [177]3 years ago
8 0
It's the 3rd answer

1 \div (36a^{4}{b}^{10} )
maks197457 [2]3 years ago
3 0

Answer:   \bold{c)\ \dfrac{1}{36\cdot a^{4}\cdot b^{10}}}

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

Use the power rule for exponents - (multiply the exponents).

Then move all of the terms that have a negative exponent to the other side of the fraction bar and change the sign of the exponent.

\bigg(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\bigg)^{-1}\\\\\\\\\text{distribute the exponent of -1 to both the top and bottom of the fraction:}\\=\dfrac{(2a^{-3}b^4)^{-2}}{(3a^5b)^{2}}\\\\\\\text{Now, distribute the exponent of -2 to the top and 2 to the bottom:}\\=\dfrac{2^{-2}\cdot a^{6}\cdot b^{-8}}{3^2\cdot a^{10}\cdot b^2}

\text{Next, move }2^{-2}\ \text{and}\ b^{-8}\ \text{to the other side of the fraction}\\\text{bar and change the sign of the exponent.}\\\\=\dfrac{a^6}{2^2\cdot 3^2\cdot a^{10}\cdot b^2\cdot b^8}\\\\\\\text{Simplify }2^2\cdot3^2\ (4\cdot 9 = 36),\ \text{use the exponent rules for multiplying}\\ \text{terms that have the same base (add the exponents), and the exponent}\\\text{rules for dividing terms that have the same base (subtract the exponents).}\\\\=\dfrac{1}{36\cdot a^{10-6}\cdot b^{2+8}}

=\dfrac{1}{36\cdot a^{4}\cdot b^{10}}

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7 0
3 years ago
Find the zeros of the function.<br>9x^2-36=0<br>I've gotten half way right up to<br>9(x^2-4)=0​
Airida [17]

Answer:

x = ±2

Step-by-step explanation:

9x^2-36=0

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x^2 = 4

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sqrt(x^2) = sqrt(4)

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7 0
3 years ago
"Nine more than three times a number is negative six"<br><br>what is the answer?​
vekshin1

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Step-by-step explanation:

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3 0
3 years ago
Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a
koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

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Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

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6 0
3 years ago
Can someone take 3 min for there time and help me with this please??
seropon [69]
Since the left side of the equation says f(5), then plug in 5 for x. 

So, it is: 
              
-4|5| + 3
= -20 + 3
= 23 
4 0
2 years ago
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