Number: Further Practice

The remaining exponent laws, negative exponents as fractions, and two fresh word problems.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Write 5⁻² as a fraction in simplest form.
  2. Simplify: x⁵ × x⁶
  3. Simplify: (x⁴)³
  4. Simplify: x¹⁰ ÷ x⁴
  5. A savings account earns simple interest. Suvi deposits $400 at an annual rate of 3%. After how many years will the account have earned $60 in interest?
  6. A rectangular pool is 3 times as long as it is wide. If the width is 8 m, what is the perimeter of the pool, in metres?
  7. Which expression is equivalent to 2⁻³?
  8. A video streaming plan costs $15 per month plus $2 for each additional device beyond the first 2 devices included. How much does a household pay in a month when 5 devices are used?

Answer these free