What is (4x(5+5^3))/(36+(6-2)) ?

The solution to (4x(5+5^3))/(36+(6-2)) is 13x

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simplify (4x(5+5^3))/(36+(6-2))

simplify

\frac{4 x ( 5 + 5 ^{3} )}{36 + ( 6 - 2 )}

13 x

Solution steps

\frac{4 x ( 5 + 5 ^{3} )}{36 + ( 6 - 2 )}

Apply rule:

a + (b + c) = a + b + c

36 + (6 - 2) = 36 + 6 - 2

= \frac{4 x ( 5 + 5 ^{3} )}{36 + 6 - 2}

Add the numbers:

36 + 6 - 2 = 40

= \frac{4 x ( 5 + 5 ^{3} )}{40}

Factor the number:

40 = 4 \cdot 10

= \frac{4 x ( 5 + 5 ^{3} )}{4 \cdot 10}

Cancel the common factor:

4

= \frac{x ( 5 + 5 ^{3} )}{10}

Simplify

\frac{x ( 5 + 5 ^{3} )}{10} : 13 x

= 13 x

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