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Laws of exponentsLaws of exponents help us to simplify terms containing exponents.
Recall that 2 × 2 × 2 = 23If a stands for any number, a × a × a × a = a4 We call 2 the base and 3 the exponent. Let us now try to perform the following multiplication: 23 × 22 23 × 22 = (2 × 2 × 2)× (2 × 2) = 2 × 2 × 2× 2 × 2 = 25 Notice that we can get the same answer by adding the exponents 2 + 3 = 5 In the same way, 43 × 44 = (4 × 4 × 4)×(4× 4 × 4 × 4)= 4 7 In general, add exponents to multiply numbers with the same base an × am = an + m Need a Quick Answer to your Math Problems? Get an answer in 10 minutes or less from a math expert! Justanswer features top-notch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party
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