Chapter 4.1, Problem 59HP

To determine

To write: a real-world problem that involves multiplying two expressions with exponents.

Explanation of Solution

Another case of utilizing types, in actuality, is when compute the territory of any square. In the event that you state "My room is twelve foot by twelve foot square", you're meaning your room is 12 feet × 12 feet — 12 feet duplicated without anyone else — which can be composed as (12 ft)2. Furthermore, that improves to 144 square feet.

Another sort of roundabout case of utilizing examples is the point at which we talk about amazingly small or very large amounts. For instance, the expression "nanometer" signifies 10-9 meter. The prefix "nano" signifies the number 10-9, which is a minuscule decimal number (0.000000001).

Or on the other hand, inside PC world we regularly find out about megabytes, gigabytes, and terabytes. "Super" signifies 106 or 1,000,000, "giga" signifies 109, and "tera" signifies 1012. The prefixes super and giga-are obviously utilized in different fields too; one model is megahertz, which implies 106 or 1,000,000 hertz.

Types are essentially a shorthand documentation for increasing a similar number without anyone else a few times − and in regular daily existence simply don't frequently require that, since it doesn't happen that frequently that need to compute 7 × 7 × 7 × 7 (which is 74) or 0.1 × 0.1 × 0.1 × 0.1 × 0.1 (which is 0.15) or other such figurings.

Be that as it may, here's one case of how examples do associate with our regular daily existences: square feet, square meters, square inches, square miles, square kilometers and some other square units — and cubic feet, cubic meters, cubic centimeters in addition to some other cubic units really use types in mask.

The unit "square foot" is truly 1 foot × 1 foot = (1 foot) squared = (1 foot)2. Likewise, a cubic foot is 1 foot × 1 foot × 1 foot = (1 foot) cubed = (1 foot)3.

Another case of utilizing examples, all things considered, is when compute the region of any square. In the event that you state "My room is twelve foot by twelve foot square", you're meaning your room is 12 feet × 12 feet — 12 feet duplicated without anyone else — which can be composed as (12 ft)2. Furthermore, that rearranges to 144 square feet.

Another sort of aberrant case of utilizing types is the point at which we talk about amazingly little or very enormous amounts. For instance, the expression "nanometer" signifies 10-9 meter. The prefix "nano" signifies the number 10-9, which is a minuscule decimal number (0.000000001).

Or then again, inside PC world we frequently find out about megabytes, gigabytes, and terabytes. "Uber" signifies 106 or 1,000,000, "giga" signifies 109, and "tera" signifies 1012. The prefixes super and giga-are obviously utilized in different fields too; one model is megahertz, which implies 106 or 1,000,000 hertz.