maths working model on laws of exponents - maths tlm making in easy steps - diy | craftpiller 

maths working model on laws of exponents - maths tlm making in easy steps - diy | craftpiller
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The laws of exponents, also known as exponent rules or properties, are a set of rules that simplify expressions involving exponents. These rules help perform various operations like multiplication, division, and raising a power to another power with ease.
The laws of exponents are essential in algebra and calculus and are used extensively in solving equations and simplifying mathematical expressions.
Here are the main laws of exponents:
Product Rule: When multiplying two terms with the same base, keep the base the same, and add the exponents.
Example: a^m * a^n = a^(m + n)
Quotient Rule: When dividing two terms with the same base, keep the base the same, and subtract the exponent in the denominator from the exponent in the numerator.
Example: a^m / a^n = a^(m - n)
Power Rule: When raising a power to another power, keep the base the same, and multiply the exponents.
Example: (a^m)^n = a^(m * n)
Zero Exponent Rule: Any non-zero base raised to the power of zero equals 1.
Example: a^0 = 1 (where "a" is any non-zero number)
Negative Exponent Rule: To express a term with a negative exponent, take the reciprocal of the base and make the exponent positive.
Example: a^(-m) = 1 / a^m
Fractional Exponent Rule: For a fractional exponent (m/n), take the n-th root of the base "a" and raise it to the power of "m."
Example: a^(m/n) = nth root of (a^m)
These laws allow us to simplify complex expressions involving exponents and facilitate solving equations, especially when dealing with polynomials and exponential functions.
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