Use scientific notation, the Laws of Exponents, and a...

Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer rounded to the number of significant digits indicated by the given data. $$\frac{1.295643 \times 10^{8}}{\left(3.610 \times 10^{-17}\right)\left(2.511 \times 10^{6}\right)}$$

Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer rounded to the number of significant digits indicated by the given data.
$$\frac{1.295643 \times 10^{8}}{\left(3.610 \times 10^{-17}\right)\left(2.511 \times 10^{6}\right)}$$

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Key Concepts

Scientific Notation

Scientific notation is a method of writing very large or very small numbers as a product of a coefficient and a power of 10. This notation allows for simpler arithmetic operations and clearer representation of data in many scientific fields, making it easier to handle and compare numbers that differ greatly in scale.

Laws of Exponents

The Laws of Exponents provide rules for simplifying expressions that involve powers of ten. These include rules for multiplication (adding exponents), division (subtracting exponents), and raising a power to a power (multiplying exponents), which are essential when manipulating expressions in scientific notation.

Significant Figures

Significant figures refer to the digits in a number that carry meaningful information about its precision. When performing calculations, the number of significant figures in the final result is determined by the measured or given values, ensuring that the result does not imply greater precision than the data supports.

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