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Ray Of Light [21]
3 years ago
6

Find the quotient.

Mathematics
1 answer:
posledela3 years ago
3 0
Answer :

B. 16 {a}^{2}c

step-by-step explanation :

48 {a}^{3}b{c}^{2} \div 3abc

This can be rewritten as:

\frac{ 48 {a}^{3}b {c}^{2} }{3abc}

Now,

\frac{48}{3}=16

The law of indices states that:

\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}

It implies that, when dividing two expressions with the same bases, repeat one of the bases and subtract the exponents.

Therefore,

\frac{ {a}^{3} }{a}= {a}^{3 - 1} = {a}^{2}

\frac{b}{b} = {b}^{1 - 1} = {b}^{0} = 1

Note: Any non-zero number exponent zero is 1

Also

\frac{ {c}^{2} }{c} = {c}^{2 - 1} = {c}^{1} = c

Hence:

\frac{ 48 {a}^{3}b {c}^{2} }{3abc} = 16 {a}^{2}c
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