What is (5xy^{2+b})(3y^2) ?

The solution to (5xy^{2+b})(3y^2) is 15xy^{b+4}

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simplify (5xy^{2+b})(3y^2)

simplify

(5 x y^{2 + b}) (3 y^{2})

15 x y^{b + 4}

Solution steps

(5 x y^{2 + b}) (3 y^{2})

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x y^{b + 4}

7. 1^{2} (e^{- \frac{7.1}{2}})

(y + z)^{2} (x^{3} + x^{2} y) (y + x)^{2} (z^{3} + z^{2} y)

(3 x) (4 x^{7})

1.44 \cdot 1 0^{- 7}