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How do you change powers with negative exponents to powers with positive exponents?
Wiki User
∙ 11y ago
by doing reciprocal
Wiki User
∙ 11y ago
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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.
What is all the power and exponents 1-10?
All the powers and exponents of 1 are 1.The powers and exponents of any of the other numbers up to 10 are equivalent to the all the positive numbers - rational and irrational.
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)
What are the seven rules for exponents?
Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
How do you change negative powers to positive?
You take away the negative sign and put 1 over the base with the (now positive) exponent. Example: x to the negative 2 becomes 1 over x to the 2nd.
How do you get the negative of 4 to the 7th power?
Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.
What do you with two negative exponents when multiplying?
I presume you mean you are multiplying two powers of the same base, where both exponents are negative. Regardless of the signs of the exponents, you algebraically add the exponents. For example, 2-3 times 2-4 is 2-7; 35 times 3-8 is 3-3.
Is it true if a negative number is raised to the 18th power the answer will be negative?
No. Negative numbers to even powers are positive.
What are the powers of 10?
10, 100, 1000, 10000, ... are the positive powers. 0.1, 0.01, 0.001, ... are negative powers.
When a negative exponent has no meanig but is introduced to complete the set of exponents?
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
How are exponents and powers different?
They are not. Exponents, powers and indices are terms used for the same thing.
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 do you turn algebra with negative powers into fractions?
A negative powers is defined as the reciprocal of the corresponding positive power. For example, 10-3 is the same a 1 / 103.
