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Basic exponential form is a way of writing numbers that involves using a base number raised to a power. The basic form is written as an, where a is the base number and n is the exponent.
To convert a number from standard form to basic exponential form, identify the base number and exponent. The base number will be the number multiplied by 10 to the power of the exponent. For example, 500 in standard form would be written as 5 x 102 in basic exponential form.
To simplify expressions in basic exponential form, use the rules of exponents. When multiplying numbers in exponential form with the same base, you can add the exponents. When dividing numbers in exponential form with the same base, you can subtract the exponents.
The difference between exponential form and logarithmic form is the way the equation is written. In exponential form, the base number is raised to a power. In logarithmic form, the base number is the answer to a power equation. For example, the exponential form 23 = 8 would be written in logarithmic form as log28 = 3.
To solve equations involving exponential form, use the property of logarithms to move the exponent down and rewrite the equation in logarithmic form. Then, solve for the variable using algebraic techniques. Finally, check your solution by plugging it back into the original equation.
