Algebra Quiz Exponents

Using the rule (e^a)^b= e^ab , simplify the expression (e²)³.

• e⁶

• e⁸

• e⁹

• e⁵

Apply the rule e^a / e^b = e^a-b to simplify the expression e⁵ / e³.

• e⁸

• e³

• e¹⁵

• e²

Apply the rule e^a * e^b = e^a+b to simplify the expression e^-5 * e^-2.

• e^-10

• e^-25

• e^-3

• e^-7

Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

Which of the following models would project the value of a company worth $400,000 whose value is continuously decreasing by 8% annually?

• y=400,000e^.08t

• y=400,000e^-.08t

• y=400,000e^-8t

• y=400,000e^8t

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d

• w^d = h

• h = w^d

• h^w = d

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Using the rule (e^a)^b= e^ab , simplify the expression (e⁴)².

• e⁸

• e²

• e¹⁶

• e⁶