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why is (3m3)3 a long form if multiplication (last two 3s are exponents)

Sagot :

reinhard10158

Step-by-step explanation:

so, I understand, we have

(3m³)³

well, it is not very long, but the "exponent of an exponent" can be combined.

so, this expression is

3³m⁹ = 27m⁹

and 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 = m⁵

if we we put a term with exponent again to the power of something, we multiply the exponents.

like (m³)² = m⁶

or (m⁵)⁴ = m²⁰

because

(m⁵)⁴ = m⁵×m⁵×m⁵×m⁵

and as before, we would now add the exponents.

5+5+5+5 = 20

and this is also, as we know from basic calculations

5×4 = 20

and 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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