Unit 9 Test Review

Front

What is the exponential equation for a 78 gram sample of Uranium that loses half of its mass each year?

Back

y=78(0.5)^{x}

Front

According to exponent rules, when we raise a power to another exponent, we _______ the exponents.

Back

multiply

Front

Back

@@ ext{radical form: } \\ \\sqrt[3]{x^2}$$

Front

Back

@@rac{r^{12}}{s^{20}}$$

Front

Back

@@rac{3a^{12}b^4}{c^6}$$

Front

What is the general form of an exponential decay function?

Back

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

Front

Define the term 'exponent'.

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the product rule for exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^{m+n}.

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^{m-n}.

Front

What is the power of a power rule for exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^{m*n}.