What is (3x^4y^2)(5x^2y^2) ?

The solution to (3x^4y^2)(5x^2y^2) is 15x^6y^4

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simplify (3x^4y^2)(5x^2y^2)

simplify

(3 x^{4} y^{2}) (5 x^{2} y^{2})

15 x^{6} y^{4}

Solution steps

(3 x^{4} y^{2}) (5 x^{2} y^{2})

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

= 3 y^{2} \cdot 5 x^{4 + 2} y^{2}

Add the numbers:

4 + 2 = 6

= 3 y^{2} \cdot 5 x^{6} y^{2}

Apply exponent rule:

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

y^{2} y^{2} = y^{2 + 2}

= 3 \cdot 5 x^{6} y^{2 + 2}

Add the numbers:

2 + 2 = 4

= 3 \cdot 5 x^{6} y^{4}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{6} y^{4}

(x^{4} y^{2}) (x y^{8})

- e^{- a t} t sinh (t b)

0.45 \cdot (\frac{15}{44})^{- 1}

((5^{3})^{2})^{2}

5 a^{2} b c^{2} (3 c - 4 ab)