Extra Exponential Test Review NOT A CFU

Front

What is the formula for the area of a rectangle?

Back

Area = Length × Width

Front

If the area of a rectangle is 20x^7y^5 and the length is 4x^3y^2, how do you find the width?

Back

Width = Area / Length = (20x^7y^5) / (4x^3y^2) = 5x^4y^3

Front

What is the product of (2a^2b^4z) and (6a^3b^2z^5)?

Back

12a^5b^6z^6

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents: a^m × a^n = a^(m+n)

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents: a^m / a^n = a^(m-n) if m > n

Front

What does b^(-n) represent?

Back

b^(-n) = 1/b^n, it represents the reciprocal of b raised to the positive exponent.

Front

What is the value of n in the expression (b^(-14))(b^6)^3?

Back

n = -14 + 18 = 4

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Front

What is the value of g(x) = 15000(0.88)^x after 5 years?

Back

g(5) = 15000(0.88)^5 ≈ $7916

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where a is the initial value and b is the base.