Posts tagged rules of exponents
Exponent rules
Exponent rules

When we want to find the sum or difference of two exponential expressions, they must be “like terms,” meaning that they must have the same base and the same exponent; otherwise, we can’t add or subtract them. Multiplication and division of exponential expressions is a little different. When we multiply and divide, we need only the bases to be the same. We do not need the exponents to be the same.

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Quotient rule for exponents to simplify fractions
Quotient rule for exponents to simplify fractions

This is the rule we use when we’re dividing one exponential expression by another exponential expression. The quotient rule tells us that we have to subtract the exponent in the denominator from the exponent in the numerator, but the bases have to be the same.

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