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Exponents

In this topic, we learn how to write exponents, evaluate them. The topic also covers how to use the order of operations to evaluate expressions involving exponents and their practical applications

Topic: Writing Exponents

  • In the exponential form ‘ an ’, a is called the base and n is called the exponent or power

  • If a number is in exponential form, the exponent represents how many times the base is to be used as a factor

    For example: In the expression 4. 4. 4, 4 is the base. It is a factor 3 times. The exponent is 3. So, it can be written as 43

Topic: Evaluate Powers

  • In the exponential form ‘ an ’, a is called the base and n is called the exponent or power

  • To write a number in exponential form, identify the base and find how many times it is a factor. This gives us the exponent

  • A number can be expressed in exponential form by raising the base to the exponent

  • To evaluate powers, multiply the base exponent number of times
    For example, 34 = 3 x 3 x 3 x 3

Topic: Use Order of Operations

  • To evaluate ab, multiply ‘a’ b times

  • To evaluate an expression, first the exponent is evaluated, then the expression in the parenthesis is evaluated

  • Once expression in the parenthesis is evaluated, follow the order multiply/divide from left to right and then add/subtract from left to right

Topic: Application Problems

  • To evaluate an expression, substitute the values of the variables and apply order of operations to solve the expression

  • In the exponential form ‘ an ’, a is called the base and n is called the exponent or power

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