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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Graphing Square Root Functions

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Exercise 68 Page 644

To simplify the given expression, use the Properties of Exponents.

36.6

Practice makes perfect

We want to simplify the given expression. We can see that our expression is the division of two expressions: |-4^7| and 3^34^(-2) + 4^3sqrt(16). To simplify the given expression, we can start by simplifying the divisor of the given expression, remembering about the order of operations and using the Properties of Exponents.

3^3/4^(-2) + 4^3/sqrt(16)

Calculate root

3^3/4^(-2) + 4^3/4

a^m/a^n= a^(m-n)

3^3/4^(-2) + 4^2

FracToMultNegExponent

a/b^m=ab^(- m)

3^3 * 4^(-(-2)) + 4^2

- (- a)=a

3^3 * 4^2 + 4^2

Calculate power

27 * 16 + 16

Multiply

432 + 16

Add terms

448

We can now substitute the received value for the given expression and simplify it.

|-4^7| ÷ (3^3/4^(-2) + 4^3/sqrt(16))

3^3/4^(-2) + 4^3/sqrt(16)= 448

|-4^7| ÷ 448

a÷ b=a/b

|-4^7|/448

|-4^7|=4^7

4^7/448

Use a calculator

36.571428 ...

Round to 1 decimal place(s)

36.6

Subchapter links

Lesson Check p.641

Practice and Problem-Solving Exercises p.642-644

Standardized Test Prep p.644

Mixed Review p.644