Algebra 2 PAP - Flashcard: Exponents & Logarithmic Rules.

Front

Using the rule (e^a)^b = e^(ab), simplify the expression (e^2)^3.

Back

e^6

Front

Simplify the expression e^3 * e^-3.

Back

1

Front

Using the rule e^0 = 1, simplify the expression e^0 * e^4.

Back

e^4

Front

Use inverse properties to simplify the expression: (10)^(log(3x/4)).

Back

(3x/4)

Front

Write the exponential equation as a logarithm: 6^3 = 216.

Back

log_6(216) = 3

Front

What is the value of e^0?

Back

1

Front

What is the product rule for exponents?

Back

a^m * a^n = a^(m+n)

Front

What is the quotient rule for exponents?

Back

a^m / a^n = a^(m-n) for a ≠ 0

Front

What is the power of a power rule for exponents?

Back

(a^m)^n = a^(mn)

Front

What is the definition of a logarithm?

Back

If b^y = x, then log_b(x) = y.