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Exponent Laws Practice
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Exponent Laws Practice
Use exponent laws to simplify expressions. Show the steps you use, and write final answers with positive indices where possible.
Choose the simplified expression
Select one answer for each question.
1.Simplify x⁴ × x⁷.
- x²⁸
- x¹¹
- 2x¹¹
- x³
2.Simplify t⁹ ÷ t⁵, where t ≠ 0.
- t¹⁴
- t⁴
- t⁴⁵
- 4t
3.Simplify (n³)⁵.
- n⁸
- n¹⁵
- 5n³
- n²
4.Which two exponent laws are used to simplify (4r²)³?
- Product rule and quotient rule
- Power of a product rule and power rule
- Quotient rule and power rule
- Product rule and power of a product rule
Show your working
Simplify each expression. Keep your working clear.
5.Simplify k⁵ × k⁻³.
6.Simplify (3u²v³)².
7.Simplify (15c⁷d⁴) ÷ (5c³d), assuming c and d are non-zero.
8.A student claims that z⁰ equals 0. Is this correct? Explain the value of z⁰ when z ≠ 0.
Challenge and application
Use more than one exponent law where needed. Write final answers with positive indices.
9.Simplify completely: (2a⁻³b²)⁻¹ × (a²b⁻⁴)².
10.A tiny particle has a mass of 6.4 × 10⁻²⁶ kg. What is the combined mass of 10⁵ identical particles? Give your answer in scientific notation.
2 printable pages
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