Try the fastest way to create flashcards
Question

Simplify the expression.

(5t2)(6t9)\left(-5 t^{2}\right)\left(6 t^{-9}\right)

Solution

Verified
Step 1
1 of 2

Using the associative property of multiplication, we can write

(5t2)(6t9)=(56)(t2t9)(-5t^2)(6t^{-9})=(-5\cdot6)(t^2\cdot t^{-9})

Recall that: aman=am+n\text{\color{#4257b2}Recall that: $a^m\cdot a^n=a^{m+n}$}

=(30)(t2+(9))=30t7=(-30)(t^{2+(-9)})=-30t^{-7}

Recall that: an=1an\text{\color{#4257b2}Recall that: $a^{-n}=\dfrac{1}{a^n}$}

=301t7=30t7=-30\cdot\dfrac{1}{t^{7}}=-\dfrac{30}{t^7}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Algebra 1 3rd Edition by Bellman, Bragg, Handlin

Algebra 1

3rd EditionISBN: 9780130523167Bellman, Bragg, Handlin
4,264 solutions
enVision Algebra 1 1st Edition by Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek

enVision Algebra 1

1st EditionISBN: 9780328931576Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek
3,653 solutions
Algebra 1 4th Edition by Saxon

Algebra 1

4th EditionISBN: 9781602773011Saxon
5,377 solutions
Big Ideas Math Integrated Mathematics II 1st Edition by Boswell, Larson

Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions

More related questions

1/4

1/7