Yes, if appropriate.
Follow the law of exponents to get your answer. With the same base, add the exponents. You could just work it out: A^3 = A*A*A, so (A^3)*(A^3) = A*A*A * A*A*A = A^6 {A to the 6th power}
yx * yx = y2x.Using the law of exponents, we add the 2 exponents, getting you 2x rather than just 'x'.
The five laws of exponents are: Product of Powers: ( a^m \times a^n = a^{m+n} ) — When multiplying like bases, add the exponents. Quotient of Powers: ( \frac{a^m}{a^n} = a^{m-n} ) — When dividing like bases, subtract the exponents. Power of a Power: ( (a^m)^n = a^{m \times n} ) — When raising a power to another power, multiply the exponents. Power of a Product: ( (ab)^n = a^n \times b^n ) — Distribute the exponent to each factor inside the parentheses. Power of a Quotient: ( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} ) — Distribute the exponent to the numerator and denominator.
The law of exponents is crucial in mathematics as it simplifies the process of working with exponential expressions, making calculations more manageable. It provides a consistent framework for manipulating powers, such as multiplying and dividing them or raising them to another power. Understanding these laws is essential for solving equations involving exponents, which are prevalent in various fields, including science, engineering, and finance. Overall, the law of exponents enhances efficiency and clarity in mathematical operations.
That depends how you choose to number the laws.
Follow the law of exponents to get your answer. With the same base, add the exponents. You could just work it out: A^3 = A*A*A, so (A^3)*(A^3) = A*A*A * A*A*A = A^6 {A to the 6th power}
yx * yx = y2x.Using the law of exponents, we add the 2 exponents, getting you 2x rather than just 'x'.
lwss of exponents
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It is not possible to answer the question because different books number number the laws differently.
That depends how you choose to number the laws.
I only know 3. 1) Product Law 2) Quotient Law 3) Pawer Law
To simplify, you write one copy of the base, then add the exponent. Example:x^5 times x^3 = x^8 In the case of positive integer exponents, this can easily be derived by writing each power as a repeated multiplication. However, this law is also valid for negative or fractional exponents.
In multiplication , if base is same then add exponents
They are experimentally determined exponents
If the bases are the same then for division subtract the exponents to find the quotient
They are experimentally determined exponents.