What is ((2^8*a^5*b^3))/((4^2*a^2*b)) ?

The solution to ((2^8*a^5*b^3))/((4^2*a^2*b)) is 16a^3b^2

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simplify ((2^8a^5b^3))/((4^2a^2b))

simplify

\frac{( 2 ^{8} \cdot a ^{5} \cdot b ^{3} )}{( 4 ^{2} \cdot a ^{2} \cdot b )}

16 a^{3} b^{2}

Solution steps

\frac{2 ^{8} a ^{5} b ^{3}}{4 ^{2} a ^{2} b}

Factor

4^{2} : 2^{4}

= \frac{2 ^{8} a ^{5} b ^{3}}{2 ^{4} a ^{2} b}

\frac{2 ^{8}}{2 ^{4}} = 2^{4}

= \frac{2 ^{4} a ^{5} b ^{3}}{a ^{2} b}

Simplify

\frac{a ^{5}}{a ^{2}} : a^{3}

= \frac{2 ^{4} a ^{3} b ^{3}}{b}

Simplify

\frac{b ^{3}}{b} : b^{2}

= 2^{4} a^{3} b^{2}

2^{4} = 16

= 16 a^{3} b^{2}

(5 x - 2 y + 7 z) + (8 x + 12 y - 25 z)

5 a^{4} + 18 a^{2} + 9

(6 x^{3} + 10 x^{12}) 12

(9 x^{2} + 8 x - 10)^{3}

p^{8} - p^{7}

What is ((2^8*a^5*b^3))/((4^2*a^2*b)) ?
The solution to ((2^8*a^5*b^3))/((4^2*a^2*b)) is 16a^3b^2