What is ((5c^1)*(4c^1))/(10c^2) ?

The solution to ((5c^1)*(4c^1))/(10c^2) is 2

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simplify ((5c^1)*(4c^1))/(10c^2)

simplify

\frac{( 5 c ^{1} ) \cdot ( 4 c ^{1} )}{10 c ^{2}}

2

Solution steps

\frac{( 5 c ^{1} ) ( 4 c ^{1} )}{10 c ^{2}}

Apply exponent rule:

a^{1} = a

c^{1} = c

= \frac{5 c \cdot 4 c}{10 c ^{2}}

Apply exponent rule:

aa = a^{2}

cc = c^{2}

= \frac{5 c ^{2} \cdot 4}{10 c ^{2}}

Cancel the common factor:

c^{2}

= \frac{5 \cdot 4}{10}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 4}{5 \cdot 2}

Cancel the common factor:

5

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

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