Negative and Fractional Indices

Negative and Fractional Indices

Read each question carefully and answer to the best of your ability. Show all your working steps for full credit.

1. Which of the following is equivalent to 5⁻²?

2. What is the value of 8^(1/3)?

3. Any non-zero number raised to a negative exponent is equal to the reciprocal of the base raised to the   exponent.

4. The expression x^(m/n) can be written as the n-th root of x raised to the power of  .

5. Evaluate (16)^(3/4) without using a calculator. Show your steps.

6. Simplify (2x⁻³y²)⁻² and express your answer with positive exponents only.

7. (1/4)⁻² is equal to 16.

8. The expression √x is the same as x^(1/2).

9. A rectangular plot of land has a width of 3⁻¹ meters and a length of 9^(1/2) meters. Calculate the area of the plot.