Answer:
Step-by-step explanation:
The point at the terminal side of an acute angle is given by .
That is,
and .
Let r be the length of line segment drawn from the origin to the point and is given by the formula:
Substituting the values of x and y into r,
Thus,
Also, is given by:
Substituting values of x and r,
-3x + 6y + 5 = -7
<u> -5 -5</u>
-3x + 6y = -12
-3x + 3x + 6y = -12 + 3x
<u>6y</u> = <u>-12 + 3x</u>
6 6
y = -2 + 1/2x
-3x + 6(-2 + 1/2x) = -12
-3x - 12 + 3x = -12
-3x + 3x - 12 = -12
0x - 12 = -12
<u> +12 +12</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-3(0) + 6y = -12
0 + 6y = -12
<u>+0 +0</u>
<u>6y</u> = <u>-12</u>
6 6
y = -2
(x, y) = (0, -2)
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to
5⁻⁴ / 5³
So you can just combine exponents.
5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷
Final answer: 1/5⁷
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81