Exercise 76 Page 478

We want to evaluate the given product. Let's use the Product of Powers Law.

(3.25* 10^5)(4* 10^3)

RemovePar

Remove parentheses

3.25* 10^5 * 4* 10^3

CommutativePropMult

Commutative Property of Multiplication

3.25* 4 * 10^5 * 10^3

Multiply

13 * 10^5 * 10^3

MultPow

a^m*a^n=a^(m+n)

13* 10^(5+3)

AddTerms

Add terms

13* 10^8

Our answer should be in scientific notation. Notice that 13 is is not less than 10. This means that our current answer is not written in scientific notation. We can express it in scientific notation by rewriting 13 as 1.3* 10^1.

13* 10^8

Rewrite

Rewrite 13 as 1.3* 10^1

1.3 * 10^1 * 10^8

MultPow

a^m*a^n=a^(m+n)

1.3 * 10^(1+8)

AddTerms

Add terms

1.3 * 10^9

We have written the product in scientific notation!

We want to evaluate the given quotient. Let's use the Quotient of Powers Law.

4* 10^3/2* 10^(- 2)

WriteProdFrac

Write as a product of fractions

(4/2) ( 10^3/10^(- 2) )

CalcQuot

Calculate quotient

2 ( 10^3/10^(- 2) )

DivPow

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

2 * 10^(3-(- 2))

SubNeg

a-(- b)=a+b

2 * 10^(3+2)

AddTerms

Add terms

2 * 10^5

Our result is already written in scientific notation, so we are finished!

Subchapter links

Exercises

Exercise 76 Page 478

Hints

Check the answer