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Q12.

Expert-verified
Pre-algebra
Found in: Page 170
Pre-algebra

Pre-algebra

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

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Short Answer

Write the power ¡n words and as a repeated multiplication. Then evaluate the power. p.10

1.33

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 by Step Solution

Step-1- Concept of exponents and power

Consider the expression, xy.

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

1.33

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,

(1.3)3=1.3×1.3×1.3(1.3)3=1.69×1.3(1.3)3=2.197

Step-3-Conclusion

Therefore, the value of given expression is 2.197.

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