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AVprozaik [17]
2 years ago
5

Please solve this law of indices​

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
5 0

4√36^-1 = 36^-1/4

36^3/4 • 36^-1/4

=36^2/4

or √36 = 6

Ludmilka [50]2 years ago
5 0

\sf Formulas:  \displaystyle \\\\\ 1)  \ a^{n} \cdot a^{m}=a^{n+m}  \\\\ 2) \sf \ \sqrt[n]{\sf a^{m}} = a^{\tfrac{m}{n} }  \\\\\\ Solution : \\\\\\\sf \large \boldsymbol {}  \displaystyle (36)^{\tfrac{3}{4} } \cdot \sqrt[\sf 4 ]{\sf 36^{-1}} }= 36^{\tfrac{3}{4} } \cdot 36^{\tfrac{-1}{4} } =36^{\tfrac{3}{4}+\big(-\tfrac{1}{4} \big ) }= \\\\\\\ 36^{\tfrac{3}{4} -\tfrac{1}{4}  } =36^{\tfrac{2}{4} }=(6^ {\backslash \!\!\!2})^{\tfrac{1}{\backslash\!\!\!2} }= 6^1=\boxed{\sf 6}

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What property justifies Step 3 in solving this equation?
Anna11 [10]
The answer is Division property of equality. This is because at Step 3, you have to divide to get your final answer. It cannot be the other ones because you do not subtract or distribute in step 3.
5 0
3 years ago
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Please help me find the measure of the arc or angle indicated. (Angles on circles)
nata0808 [166]

Answer: 9. 54; 10. 220; 11. 71; 12. 262

Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure

5 0
3 years ago
Which of the following represents x = y written in general form? 2 x - y = 0 1/2 x - y = 0 x - 1/2 y = 0
Marta_Voda [28]

Answer:

x - y = 0

Step-by-step explanation:

General form of equation of straight line is

ax + by = c

that is we have to keep terms containing x and y on LHS and term independent of x and y on RHS.

given

x = y

there, no term independent of x and y

now we have to bring y one RHS

for that we subtract y from LHS and RHS

x - y = y -y

=> x - y = 0

Thus, option x - y = 0 is the correct answer.

4 0
3 years ago
Ramon is playing a game in which he must pull two blocks out of a bag containing red and yellow blocks. He cannot look, and he c
Nimfa-mama [501]
A) \frac{x(x+4)}{(2x+4)(2x+3)}
B) 1/4 = 25%
C) 1/8 = 12.5%

Explanation
A) Let x = the number of yellow blocks.  Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.

The probability of choosing a red block first would be
\frac{x+4}{2x+4}
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be 
\frac{x}{2x+4-1}=\frac{x}{2x+3}
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.

This gives the total probability of 
\frac{x+4}{2x+4}\times \frac{x}{2x+3}=\frac{x(x+4)}{(2x+4)(2x+3)}

B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15.  Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%

C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15.  Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%
6 0
3 years ago
WILL MARK BRAINIEST!!! Segment AC has two endpoints; (-2,5) and (2,-5). What are the coordinates of point B on segment AC such t
svet-max [94.6K]

Answer:

(\frac{4}{3},-\frac{10}{3})

Step-by-step explanation:

If the extreme ends of a line segment AC are A(x_1,y_1) and C(x_2,y_2).

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = \frac{5\times (2)+1(-2)}{5+1}

  = \frac{10-2}{5+1}

  = \frac{8}{6}

  = \frac{4}{3}

y = \frac{5\times (-5)+1(5)}{5+1}

  = \frac{-25+5}{6}

  = -\frac{20}{6}

  = -\frac{10}{3}

Therefore, coordinates of the point B are (\frac{4}{3},-\frac{10}{3}).

6 0
3 years ago
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