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Popular >

simplify (-(5y^2)/(7x^3))^2

Solution

simplify

(- \frac{5 y ^{2}}{7 x ^{3}})^{2}

Solution

\frac{25 y ^{4}}{49 x ^{6}}

Solution steps

(- \frac{5 y ^{2}}{7 x ^{3}})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{5 y ^{2}}{7 x ^{3}})^{2} = (\frac{5 y ^{2}}{7 x ^{3}})^{2}

= (\frac{5 y ^{2}}{7 x ^{3}})^{2}

Apply exponent rule:

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

= \frac{( 5 y ^{2} ) ^{2}}{( 7 x ^{3} ) ^{2}}

Simplify

(5 y^{2})^{2} : 25 y^{4}

= \frac{25 y ^{4}}{( 7 x ^{3} ) ^{2}}

Simplify

(7 x^{3})^{2} : 49 x^{6}

= \frac{25 y ^{4}}{49 x ^{6}}

Popular Examples

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15 x^{3} z + 30 x^{2} - 18 yz - 9 x y z^{2}

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3 a + 6 b + 12

simplify (3+i)/(2-i)simplify

\frac{3 + i}{2 - i}

5 (x - 1) - 6 x = - 11 x

Frequently Asked Questions (FAQ)

What is (-(5y^2)/(7x^3))^2 ?
The solution to (-(5y^2)/(7x^3))^2 is (25y^4)/(49x^6)