Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.
4^(1/7) would become ⁷√4 .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.
4^(7/2) would become √(4⁷) ... the 7th power goes with the number under your radical and the "2" becomes a square root
7^(1/4) would become ⁴√7 ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7
7^(1/2) would become, simply, √7
13 is not a perfect square so it is (irrational)
AWNSER: $90.75
Shelly earns $90.75 in compound interest after 3 years. All together she has $695.75.
Answer:
The slope is 3
Step-by-step explanation:
m = rise/run
m = (y2 - y1)/(x2-x1)
points: (0,-5), (1,-2)
m = ((-5) - (-2))/ ((0) - (1))
m = (-5 + 2)/ (-1)
m = -3/-1
m = 3