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Exercises Expressions, exponents and radicals

Example 2.6 from Prealgebra, 2.1 Use the Language of Algebra

Use the Language of Algebra: example 2.6

Write each exponential expression in expanded form:

ⓐ $8^{6}$
ⓑ $x^{5}$

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 is $8$ and the exponent is $6,$ so $8^{6}$ means $8 \cdot 8 \cdot 8 \cdot 8 \cdot 8 \cdot 8$
ⓑ The base is $x$ and the exponent is $5,$ so $x^{5}$ means $x \cdot x \cdot x \cdot x \cdot x$

Your turn

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

Write each exponential expression in expanded form:

ⓐ $4^{8}$
ⓑ $a^{7}$

How did it go?

PreviousUse the Language of Algebra: example 2.5 Next Use the Language of Algebra: example 2.7

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.