Unit 6: Flashcardziz #3 - Exponent Review

Front

What is the decay factor for a quantity that decreases by 20% per hour?

Back

The decay factor is 0.8.

Front

What is the formula for exponential decay?

Back

The formula is y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

Simplify the expression (7a^2)(5a^6b)^2.

Back

175a^{14}b^{2}.

Front

What is the value of a^0 for any non-zero number a?

Back

a^0 = 1.

Front

What is the result of (4a^0b^2c^4)^2?

Back

16b^{4}c^{8}.

Front

How do you divide exponential expressions with the same base?

Back

Subtract the exponents: a^m / a^n = a^{m-n}.

Front

What is the decay factor for a car valued at $15,000 that depreciates at a rate of 8% per year?

Back

The decay factor is 0.92.

Front

What is the result of a^{12}b^{20} ÷ (a^3/b^5)?

Back

a^{9}b^{25}.

Front

What does it mean for a quantity to decay exponentially?

Back

It means the quantity decreases at a rate proportional to its current value.

Front

If a quantity decreases by 20% each hour, what percentage remains after one hour?

Back

80% remains.