What is ((10ab)^2(2a^4b^3))/(4a^5b) ?

The solution to ((10ab)^2(2a^4b^3))/(4a^5b) is 50ab^4

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simplify ((10ab)^2(2a^4b^3))/(4a^5b)

simplify

\frac{( 10 ab ) ^{2} ( 2 a ^{4} b ^{3} )}{4 a ^{5} b}

50 a b^{4}

Solution steps

\frac{( 10 ab ) ^{2} ( 2 a ^{4} b ^{3} )}{4 a ^{5} b}

Simplify

(10 ab)^{2} (2 a^{4} b^{3}) : 200 a^{6} b^{5}

= \frac{200 a ^{6} b ^{5}}{4 a ^{5} b}

Factor the number:

200 = 4 \cdot 50

= \frac{4 \cdot 50 a ^{6} b ^{5}}{4 a ^{5} b}

Cancel the common factor:

4

= \frac{50 a ^{6} b ^{5}}{a ^{5} b}

Simplify

\frac{a ^{6}}{a ^{5}} : a

= \frac{50 a b ^{5}}{b}

Simplify

\frac{b ^{5}}{b} : b^{4}

= 50 a b^{4}

(x + 5)^{2} - 64 = 0

f = (1)^{2} - 5

x^{2} - 5 x + 4

50 \cdot 1 \cdot (x - 70) = 50 \cdot 1 \cdot (40 - x)

x^{2} - 32 + 256 = 0

What is ((10ab)^2(2a^4b^3))/(4a^5b) ?
The solution to ((10ab)^2(2a^4b^3))/(4a^5b) is 50ab^4