Multiplication: Multiplying Numbers with Powers
Multiplication is an arithmetic operation that involves adding a number to itself a certain number of times. For example, 3 multiplied by 4 can be written as 3 + 3 + 3 + 3 = 12. In general, the multiplication of two numbers, a and b, can be written as a x b.
Multiplying numbers with powers involves raising a base number to a specific exponent. For example, 2 raised to the power of 3 can be written as 2^3 = 8. This means that you multiply the base number (2) by itself three times to get the result. The exponent tells you how many times to multiply the base number by itself.
To multiply two numbers with powers, you can use the product rule of exponents. This states that when multiplying two exponential expressions with the same base, you add the exponents together. For example, (2^3) x (2^4) = 2^(3+4) = 2^7.
Reference:
– Khan Academy. (n.d.). Multiplying powers with the same base. Retrieved from https://www.khanacademy.org/math/algebra/exponent-properties/equal-bases-and-products/v/multiplying-powers-with-the-same-base
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