Two sailboats leave Key Largo, Florida. One of the sailboats travels 3 miles east and then 4 miles north. The second sailboat tr
avels 8 miles south and 6 miles west. How far apart, in miles, are the boats? A. 14 miles B. 15 miles C. 17 miles D. 21 miles
1 answer:
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Answer:
4
Step-by-step explanation:
We'll do two things here. First remember that when a number is raised to an exponent, and the result is raised to another exponent, you can simply multiply those exponents and apply them to the base. So we can multiply -1/2 and -2/3, giving us 1/3, which is what we'll raise 64 to.
The other thing to remember is that a fractional exponent is the same as a root of that base. So raising a number to the power of 1/3 just means we want the cube root of that number.
Applying those and we get: