91Ó°ÊÓ

State whether the equation is an example of either the product rule, the quotient rule, the power rule, raising a product to a power, or raising a quotient to a power. $$ \left(\frac{5}{7}\right)^{4}=\frac{5^{4}}{7^{4}} $$

Classify each of the following as either a pair of equivalent equations or a pair of equivalent expressions. $$ 2(x+7)=11,2 x+14=11 $$

State whether the equation is an example of either the product rule, the quotient rule, the power rule, raising a product to a power, or raising a quotient to a power. $$ \left(\frac{a}{4}\right)^{7}=\frac{a^{7}}{4^{7}} $$

Classify each of the following statements as either true or false. The commutative law of addition states that for all real numbers \(a\) and \(b, a+b\) and \(b+a\) are equivalent.

For each problem, familiarize yourself with the situation. Then translate to mathematical language. You need not actually solve the problem; just carry out the first two steps of the five-step strategy. You will be asked to complete some of the solutions as Exercises 35–42. The sum of two numbers is \(88 .\) One of the numbers is 6 more than the other. What are the numbers?

Classify each of the following as either a pair of equivalent equations or a pair of equivalent expressions. $$ 8 t+5-2 t+1,6 t+6 $$

Use mathematical symbols to translate each phrase. Five less than some number

Convert to scientific notation. 64,000,000,000

Find each absolute value. $$ |-3| $$

Convert to scientific notation. 3,700,000