Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
The answer is B, or y - 6 = 3/4 (x - 4). To put (-4, 6); m = 3/4 in point-slope form, you first start with the point-slope form equation which is y - k = m (x - h). The ordered pair that it wants you to put in is (-4, 6). To figure out where the ordered pair goes, you replace the variables (h, k) with (-4, 6). The h will always be the point on the
x-axis and the k will always will be the point on the y-axis. Putting these together, you now get y - 6 = m (x - 4). As the same in slope-intercept form, or y=mx+b form, the slope in this equation is m. In this equation, m = 3/4. So, the equation in point-slope form is y - 6 = 3/4 (x - 4).