Evaluating exponent expressionswith exponents

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In math there are different types of expressions. An expression can consist of different variables, numbers and exponents. The exponent is the power of the number or the variables. The exponent tell the number of times the base variable or number is to be multiplied. In some questions it’s always useful to know the order of operation provided there are arithmetic’s operations i.e. first solve inside the parenthesis, division, multiplication, subtraction and then addition.

Example 1: Find the value of m in the expression: 625 = 5 m
Solution: Here the exponent expression is given 625 = 5m.
Hence the number can be factorized as 625 = 5 x 5 x 5 x 5.
(The number 5 is multiplied four times so 5 is raised to the power 4.)
Now the number can be written in the exponent form as: 625 = 54.
Now equating the number to the given expression: 5m = 54.
Since the base numbers for the expressions are equal equate the powers.
Hence the answer is m = 4.
Question: Multiple choice question (Pick the correct option.)
The number 64 can be written as an exponent expression as the following?
a)    43                    b) 4                 c) 42                d) None of these.
Correct answer: option a.
The number 64 can be factorized and written as : 64 = 4 x 4 x 4.
The number 4 is multiplied three times. So, 3 is the exponent for the number 4.
Hence the exponent expression for 64 = 43.

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