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Q5.

Expert-verified
Found in: Page 463

### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

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# Simplify each expression. Assume that no denominator equals 0.${\left(\frac{\mathbf{2}{a}^{4}{b}^{3}}{{c}^{6}}\right)}^{0}$

The expression ${\left(\frac{2{a}^{4}{b}^{3}}{{c}^{6}}\right)}^{0}$ can be simplified to 1.

See the step by step solution

## Step 1. Write zero exponent property.

For any nonzero number x, ${x}^{0}=1$.

## Step 2. Apply zero exponent property.

Apply zero exponent property to the given expression.

$\frac{{2}^{0}{\left({a}^{4}\right)}^{0}{\left({b}^{3}\right)}^{0}}{{\left({c}^{6}\right)}^{0}}$

## Step 3. Simplify the expression.

Simplify the expression obtained in step 2.

1

Therefore, ${\left(\frac{2{a}^{4}{b}^{3}}{{c}^{6}}\right)}^{0}$ can be simplified to 1.

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