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Q12.

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Found in: Page 170

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Write the power ¡n words and as a repeated multiplication. Then evaluate the power. $\left(p.10\right)$${\left(1.3\right)}^{3}$

1.3 raised to the power 3.

Value of given expression is $2.197$.

Repeated multiplication is $1.3×1.3×1.3$.

See the step by step solution

## Step-1- Concept of exponents and power

Consider the expression, ${x}^{y}$.

The expression can be written in word as “x raised to the power y”. Here, x is the base and, y is the exponent.

## Step-2-Evaluating given expression

${\left(1.3\right)}^{3}$

In given expression, 1.3 is the base & 3 is the exponent.

So, it is written as 1.3 raised to the power 3.

Repeated multiplication is $1.3×1.3×1.3$.

On simplifying, it gives,

$\begin{array}{c}{\left(1.3\right)}^{3}=1.3×1.3×1.3\\ {\left(1.3\right)}^{3}=1.69×1.3\\ {\left(1.3\right)}^{3}=2.197\end{array}$

## Step-3-Conclusion

Therefore, the value of given expression is $2.197$.