Answer:
Step-by-step explanation:
When increasing the power of an integer by another power, you should multiply both powers to find the total power that the integer should be raised to. In this case therefore:
= 3 * 2
= 6
So the numerator will be 8⁶
When dividing the same integers raised to powers, you should subtract the power of the divisor from the power number being divided.
In this case therefore, you are to subtract (-5) from 6 (calculated in first part).
= 6 - (-5)
= 6 + 5
= 11
Another way of writing the above will therefore be: 8¹¹.
Answer:
![\displaystyle 8,1](https://tex.z-dn.net/?f=%5Cdisplaystyle%208%2C1)
Step-by-step explanation:
Use the Pythagorean Theorem twise [first time for the <em>reflexive </em><em>edge</em> and the second time for the <em>longer leg</em> of the other triangle]:
![\displaystyle a^2 + b^2 = c^2 \\ \\ a^2 + 5^2 = 10^2 \hookrightarrow 100 = 25 + a^2 \hookrightarrow \sqrt{75} = \sqrt{x^2}; 5\sqrt{3}\:[or\:8,6602540378...] = a \\ \\ \\ \\ a^2 + b^2 = c^2 \\ \\ x^2 + 3^2 = 5\sqrt{3}^2 \hookrightarrow 75 = 9 + x^2 \hookrightarrow \sqrt{66} = \sqrt{x^2}; \sqrt{66}\:[or\:8,1240384046...] = x \\ \\ \boxed{\boxed{8,1 \approx x}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%20a%5E2%20%2B%205%5E2%20%3D%2010%5E2%20%5Chookrightarrow%20100%20%3D%2025%20%2B%20a%5E2%20%5Chookrightarrow%20%5Csqrt%7B75%7D%20%3D%20%5Csqrt%7Bx%5E2%7D%3B%205%5Csqrt%7B3%7D%5C%3A%5Bor%5C%3A8%2C6602540378...%5D%20%3D%20a%20%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%20x%5E2%20%2B%203%5E2%20%3D%205%5Csqrt%7B3%7D%5E2%20%5Chookrightarrow%2075%20%3D%209%20%2B%20x%5E2%20%5Chookrightarrow%20%5Csqrt%7B66%7D%20%3D%20%5Csqrt%7Bx%5E2%7D%3B%20%5Csqrt%7B66%7D%5C%3A%5Bor%5C%3A8%2C1240384046...%5D%20%3D%20x%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5Cboxed%7B8%2C1%20%5Capprox%20x%7D%7D)
I am joyous to assist you at any time.
Answer:
<em>y = -2</em>
Step-by-step explanation:
Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.
Use the slope-intercept form of the equation of a line and plug in the information you have.
y = mx + b
y = 0x + (-2)
y = -2
Answer:
24X58-9=1,383
800x24=19,200
Step-by-step explanation:
24x58=(24x8)+(24x50)
24x8=160+32=192
24x50=200+1,000=1,200
192+1,200=1,392-9=1,383
800x24=3,200+16,000=19,200