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Exercises Expressions, exponents and radicals

Example 2.5 from Prealgebra, 2.1 Use the Language of Algebra

Use the Language of Algebra: example 2.5

Write each expression in exponential form:

ⓐ $16 \cdot 16 \cdot 16 \cdot 16 \cdot 16 \cdot 16 \cdot 16$
ⓑ $9 \cdot 9 \cdot 9 \cdot 9 \cdot 9$
ⓒ $x \cdot x \cdot x \cdot x$
ⓓ $a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a$

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

ⓐ The base 16 is a factor 7 times. $16^{7}$

ⓑ The base 9 is a factor 5 times. $9^{5}$

ⓒ The base $x$ is a factor 4 times. $x^{4}$

ⓓ The base $a$ is a factor 8 times. $a^{8}$

Your turn

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

Write each expression in exponential form:

$41 \cdot 41 \cdot 41 \cdot 41 \cdot 41$

How did it go?

PreviousUse the Language of Algebra: example 2.4 Next Use the Language of Algebra: example 2.6

From Prealgebra (1st edition) by OpenStax (Rice University), section 2.1, 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.