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Viefleur [7K]
3 years ago
10

!!30 PTS!!

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0
Do you mean 1 am? Because in Ohio it'd be 1 am, not 1 pm tho.
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Match the expression on the left with the correct simplified expression on the right.
andriy [413]

Given: The expression below

\begin{gathered} (\frac{(3x^3y^4)^3}{(3x^2y^2)^2})^2 \\ (\frac{(3x^4y^2)^4}{(3x^5y^2)^3})^2 \end{gathered}

To Determine: The matching expression to the given expressions

Solution

Let us simplify each of the expressions using exponents rule

\begin{gathered} Exponent-Rule1=(a^m)^n=a^{m\times n} \\ Exponent-Rule2=(\frac{a^m}{a^n})=a^{m-n} \end{gathered}

Applying the exponent rule 1 above to the given expressions

\begin{gathered} (3x^3y^4)^3=3^3x^{3\times3}y^{4\times3}=27x^9y^{12} \\ (3x^2y^2)^2=3^2x^{2\times2}y^{2\times2}=9x^4y^4 \end{gathered}\begin{gathered} (3x^4y^2)^4=3^4x^{4\times4}y^{2\times4}=81x^{16}y^8 \\ (3x^5y^2)^3=3^3x^{5\times3}y^{2\times3}=27x^{15}y^6 \end{gathered}

Applying the exponent rule 2

\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}}=\frac{27x^9y^{12}}{9x^4y^4}=\frac{27}{9}x^{9-4}y^{12-4}=3x^5y^8\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}}=\frac{81x^{16}y^8}{27x^{15}y^6}=\frac{81}{27}x^{16-15}y^{8-6}=3xy^2

Let us not apply exponent rule 1 above

(\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}})^2=(3x^5y^8)^2=3^2x^{5\times2}y^{8\times2}=9x^{10}y^{16}(\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}})^2=(3xy^2)^2=3^2x^2y^{2\times2}=9x^2y^4

Hence, the matching is as shown below

8 0
2 years ago
F(x)=-x^2+x<br> f(x)=−x <br> Find f(−1)
STALIN [3.7K]

Answer:

<u>Step 1:  Set x to -1 in the first equation </u>

f(x) = -x^2 + x

f(-1) = -(-1)^2 + (-1)

f(-1) = -(1) - 1

f(-1) = -1 - 1

f(-1) = -2

<u>Step 2:  Set x to -1 in the second equation </u>

f(x) = -x

f(-1) = -(-1)

f(-1) = 1

5 0
3 years ago
Find the surface area for both​
Kay [80]
1) 16x16= 256ft
16x3x4= 192ft
add them together
256+192= 448ft2 (2 is the little number at the top next to the unit)

2) 3.14x7(2)= 153.86ft2
and i’m not sure on the other part SORRY
8 0
3 years ago
How do i find an angle on any corner using sine ratio​
jenyasd209 [6]

Answer:

Step-by-step explanation:

Make sure the computed ratio is present on your calculator and hit the sin^-1 key. This “inverse sine” function takes a known ratio and returns the angle that produced that ratio. For example, sin^-1(0.8) = 53.130 degrees.

for more;

https://sciencing.com/calculate-angle-sin-7413442.html

7 0
3 years ago
Help me...im dumb...
Aleks [24]
1. $300.00
3. $55.60
4. About 0.0227
7. 14 buses
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6 0
3 years ago
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