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What are laws of exponents?

Updated: 4/28/2022
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7y ago

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x^a is x time itself a number of times

x^0=1 any number raised to the zero power equals 1

x^n times x^m = x^(n+m)

x^n divided by x^m = x^(n-m)

x^(1/n) is the n-th root of x

x^(-1) is 1/x

(mathematics) Any of the laws aman am+n, am/an am-n, (am)n amn, (ab)n anbn, (a/b)n = an/bn; these laws are valid when m and n are any integers, or when a and b are positive and m and n are any real numbers. Also known as exponential law.

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Q: What are laws of exponents?
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How are the laws of rational exponents similar to laws of integer exponents?

The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.


What is Laws of exponents of multipliation?

a2 X a6 = a8


What are the laws of exponents in dividing monomials?

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What is the Seventh law of exponents?

That depends how you choose to number the laws.


What does it mean to multiply two powers having the same base and add the exponents?

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.


When there are 2 exponent question what do you do to the exponents if the base is different?

the base and the laws of exponent


How do you solve in exponents laws if the bases are not the same?

Convert all expressions to the same base.


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.


What happen when the number power become negative?

The answer to your question is derived from the Laws of Exponents. According to these laws when you encounter exponents in division problems you perform a subtraction. (Ex. a2/a3) After subtracting the exponents (2-3= -1) you are left with an exponent of -1 (a-1) This is just another way to write 1/a1 , or more commonly, just 1/a.


Why do you follow the laws of operations?

"Please Excuse My Dear Aunt Sally" Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. You do things in Parentheses first, followed by exponents, then multiplication and so on.


What are the different laws of exponent in division?

There is only one law for exponents in division, and that is 1/ax = a-x


What are the laws of exponents for division?

If the base is the same, you can subtract the exponents. For example (using "^" por powers):10^5 / 10^2 = 10^310^5 / 10^(-4) = 10^9