Core Connections: Course 3
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Core Connections: Course 3 View details
2. Section 8.2
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Exercise 55 Page 358

Practice makes perfect

The expression 6^5, or 6 to the fifth power, can be written as the product of five 6 terms. With this in mind, let's evaluate the expression. 6^5 = 6* 6* 6 * 6* 6 = 7776

We want to simplify the following expression. (2/3)^3 Let's use the Power of a Quotient Law. This law states that if we want to calculate the power of a quotient, we can write the quotient as the ratio of two powers with the same exponent.
(2/3)^3
2^3/3^3
8/27
We are asked to simplify the given expression. (2+3)^4 According to the order of operations, we need to start by simplifying the terms in parentheses. Then we will evaluate the power. Let's do it!
(2+3)^4
5^4
625
Let's consider the given expression. 2(- 1/2+3/4)^3 We want to simplify the expression. According to the order of operations, we need to start by adding the fractions.
2(- 1/2+3/4)^3
2(- 1* 2/2* 2+3/4)^3
2(- 2/4+3/4)^3
2(- 2/4+3/4)^3
2(- 2+3/4)^3
2(1/4)^3
Next, we can calculate the power using the Power of a Quotient Law. Then we will perform the multiplication. Let's go!
2(1/4)^3
2(1^3/4^3)
2(1/64)
2/64
2Ă· 2/64Ă· 2
1/32