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- Powers and Exponents

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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A number in exponential form has two components, the base and the exponent. The base is the bigger number on the left, and the exponent is the smaller number at the top right hand corner of the base. When you multiply the same number two times or more, you may express it in exponential form.

Related concepts: Product rule of exponents, Quotient rule of exponents, Power of a product rule , Power of a quotient rule ,

- 1.Write in exponential notation, and calculate.a)5 × 5b)4 × 4 × 4c)6 × 6 × 6 × 6 × 6d)8 × 8 × 8 × 8 × 8 × 8 × 8
- 2.Complete the table.

Repeated Multiplication Exponential Form Value 9 × 9 × 9 × 9 ${9^4}$ ____ 2 × 2 × 2 ____ ____ ___________ ____ 25 ___________ ____ 216 ___________ ${12^3}$ ____ - 3.Complete the table.

Repeated Multiplication Exponential Form Value (-6) × (-6) × (-6) × (-6) ${\left( { - 6} \right)^4}$ ____ (-8) × (-8) × (-8) ${\left( { - 8} \right)^3}$ ____ (-1) × (-1) × (-1) ____ ____ ___________ ${\left( { - 9} \right)^2}$ ____ ___________ ____ -1024 - 4.The side length of the cube below is 5 cm. Write the volume of the cube in repeated multiplication form and as a power.

- 5.Write 16 as a power where the exponent is 4 and the base is:a)negativeb)positive

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