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How do you change negative exponets to positive exponents?
A negative exponent of a number is the same as the reciprocal of that same number to the equivalent positive exponent.EXAMPLE : 2-3 = 1/23When multiplying powers of the same base the rule is, addthe exponents.So, if the initial exponent is negative then the number has to be multiplied by a power of that number with an equivalent positive exponent greater than the negative exponent.EXAMPLE : 2-3 x 25 = 2(-3+5) = 22 (As 5 > l3l then the resultant exponent is positive)
Why do you use exponents?
Exponents are used in many different contexts and for different, though related, reasons. Exponents are used in scientific notation to represent very large and very small numbers. The main purpose it to strip the number of unnecessary detail and to reduce the risk of errors. Exponents are used in algebra and calculus to deal with exponential or power functions. Many laws in physics, for example, involve powers (positive, negative or fractional) of basic measures. Calculations based on these laws are simper if exponents are used.
How will you apply the zero and negative exponent into a real life situation?
One example is in units of measurement. When you tune your car engine, what are the physical units of RPM? 1 revolution per minute has units of "per minute" which means 1/minutes, which is abbreviated min^-1. You ofte see density expressed in kg*m^-3. And so on. Very large numbers and very small (i.e., close to zero) numbers are usually expressed in scientific notation using powers of 10. Multiply and divide become simply add and subtract, greatly simplifying calculation (by hand or electronically). Exponents often "cancel out" to leave a final power of zero or small positive or negative exponents. Computations often require flipping the sign of the exponent. In chemistry, e.g., Avogadro's number is 6x10^23 molecules per mole. So you automatically know that a single molecule contains (1/6)x10-23 moles. The universe -- including our human "real world" -- spans so many powers of 10 that exponential notation is inevitable. The human scale -- how we experience the world -- lies roughly in the middle between size of the universe (largest positive powers of 10) and sub-quantum Planck realm (largest negative powers of 10). There's nothing mysterious or exotic about negative powers, compared to positive ones. Think of it as left versus right of zero (or 1 on a log scale) -- no real preference due to symmetry. Whether you feel mathematics is invented or discovered, it's clear that negative numbers are necessary for a full description of our physical world. The same is true of negative exponents.
In powers and exponents what does standard form mean?
It means the number form of the exponent.
What is -2 to the 3rd power-?
(-2)^3 = (2*-1)^3 = (2^3)*(-1)^3 = 8*-1 = -8 General behavior: Negative numbers raised to even powers are positive, raised to odd powers are negative.
