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When the base of an exponential expression is a positive proper fraction, the value of the expression __________ as the exponent increases
When the base of an exponential expression is a positive decimal between 0 and 1, the value of the expression _________ as the exponent increases
When can you combine exponents via addition?
When you are multiplying exponential terms with the same base
When can you combine exponents via subtraction?
When you are dividing exponential terms with the same base
For fractional exponents, the base number is raised to the _______ and taken to the root of the ________.
raise: numerator, root: denominator
You can simplify exponential expressions linked by multiplication/division if...
they have an exponent or base in common
Describe the numerator and denominator of a fractional exponent
numerator = power raised, denominator = root taken
How do you estimate the roots of imperfect squares?
Find the two closest perfect squares. If there is a coefficient, transfer it to under the root before searching for the two closest perfect squares
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