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Popular >

simplify ((40y)/(5xy))^2

Solution

simplify

(\frac{40 y}{5 x y})^{2}

Solution

\frac{64}{x ^{2}}

Solution steps

(\frac{40 y}{5 x y})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 40 y ) ^{2}}{( 5 x y ) ^{2}}

Simplify

(40 y)^{2} : 1600 y^{2}

= \frac{1600 y ^{2}}{( 5 x y ) ^{2}}

Simplify

(5 x y)^{2} : 25 x^{2} y^{2}

= \frac{1600 y ^{2}}{25 x ^{2} y ^{2}}

Simplify

\frac{1600 y ^{2}}{25 x ^{2} y ^{2}} : \frac{64}{x ^{2}}

= \frac{64}{x ^{2}}

Popular Examples

5(x-1)+10<5\lor-4(x-3)<5

5 (x - 1) + 10 < 5 or - 4 (x - 3) < 5

simplify (-16)^{1/4}simplify

(- 16)^{\frac{1}{4}}

factor a(a-7)-b(a-7)factor

a (a - 7) - b (a - 7)

- 20 = 2 (x - 9)

factor (x-4)^{7/2}-16(x-4)^{3/2}factor

(x - 4)^{\frac{7}{2}} - 16 (x - 4)^{\frac{3}{2}}

Frequently Asked Questions (FAQ)

What is ((40y)/(5xy))^2 ?
The solution to ((40y)/(5xy))^2 is (64)/(x^2)