Use a calculator or technology to compute the following quantities.

a. 2.6 Superscript one third2.613

b. 145 Superscript one fourth14514

c. The annual return on an account in which an initial investment of 

​$350350 

increases to 

​$25502550 

over a period of 

1515 

years.

Here are the computed values:

a. $ 2.6^{\frac{1}{3}} \approx 1.3751 $

b. $ 145^{\frac{1}{4}} \approx 3.4701 $

c. The annual return on the account with an initial investment of $350 increasing to $2550 over 15 years is approximately 14.16%.

Would you like further details or explanations?

Here are some related questions to explore:

1. How do fractional exponents relate to roots in mathematics?
2. How is the annual return calculated in compound interest problems?
3. Can you use logarithms to compute the annual return?
4. What happens to the investment if the interest rate doubles?
5. How does the number of years affect the growth of an investment?

**Tip**: When calculating investment growth, understanding compound interest formulas can greatly help in future financial planning.

Use a calculator or technology to compute the following quantities.

a. 2.6^(1/3)

b. 145^(1/4)

c. The annual return on an account in which an initial investment of $350 increases to $2550 over a period of 15 years.

Learn how to calculate the cube root of 2.6, the fourth root of 145, and the annual return on an account with an initial investment of $350 growing to $2550 over 15 years. This problem involves the use of exponents, roots, and the compound interest formula, suitable for students in Grades 10-12.

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