What is (2y^2)^2\times (-3y^2)^2 ?

The solution to (2y^2)^2\times (-3y^2)^2 is 36y^8

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simplify (2y^2)^2\times (-3y^2)^2

simplify

(2 y^{2})^{2} \cdot (- 3 y^{2})^{2}

36 y^{8}

Solution steps

(2 y^{2})^{2} (- 3 y^{2})^{2}

Simplify

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

= 4 y^{4} (- 3 y^{2})^{2}

Simplify

(- 3 y^{2})^{2} : 9 y^{4}

= 4 y^{4} \cdot 9 y^{4}

Multiply the numbers:

4 \cdot 9 = 36

= 36 y^{4} y^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{4} y^{4} = y^{4 + 4}

= 36 y^{4 + 4}

Add the numbers:

4 + 4 = 8

= 36 y^{8}

(x y^{2} z^{3})^{- 1} (x yz)^{3}

(\frac{5}{9})^{- 2}

5 + \frac{1}{7} b = - 2

275

t^{2} + 3 t - 1 = 0

What is (2y^2)^2\times (-3y^2)^2 ?
The solution to (2y^2)^2\times (-3y^2)^2 is 36y^8