Question

How to get the answer.

how to get the 1.2762815625?
I know it says to multiple, but how to multiple to get that number?
thanks
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Answer 1

9514 1404 393

Answer:

1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

= 1.1025 × 1.05 × 1.05 × 1.05

= 1.157625 × 1.05 × 1.05

= 1.21550625 × 1.05

= 1.2762815625

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All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is
`\displaystyle \boxed{y^x}`. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)