Why is (3m3)3 a long form if multiplication (last two 3s are exponents)
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Question:
why is (3m3)3 a long form if multiplication (last two 3s are exponents)
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Step-by-step explanation:so, I understand, we have(3m³)³well, it is not very long, but the "exponent of an exponent" can be combined. so, this expression is3³m⁹ = 27m⁹and that is the shortest form. remember, if we multiply the same base multiple times with various exponents, we simply add the exponents.like m³×m² = m⁵if we we put a term with exponent again to the power of something, we multiply the exponents.like (m³)² = m⁶or (m⁵)⁴ = m²⁰because(m⁵)⁴ = m⁵×m⁵×m⁵×m⁵and as before, we would now add the exponents.5+5+5+5 = 20and this is also, as we know from basic calculations5×4 = 20and also remember, when putting a term to the power of something, and that term consists of several factors (like 3 and m for 3m), then we need to apply that exponent to all factors.
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