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Exercises Numbers, fractions and percents

Example 3.54 from Prealgebra, 3.4 Multiply and Divide Integers

Multiply and Divide Integers: example 3.54

Simplify: $8 (−9) \div {(−2)}^{3} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
We simplify the exponent first, then multiply and divide.

$8 (−9) \div {(−2)}^{3}$

Simplify the exponent. $8 (−9) \div (−8)$

Multiply. $−72 \div (−8)$

Divide. $9$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify:

$12 (−9) \div {(−3)}^{3}$

How did it go?

PreviousMultiply and Divide Integers: example 3.53 Next Multiply and Divide Integers: example 3.55

From Prealgebra (1st edition) by OpenStax (Rice University), section 3.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.