What is (2x^{2a+1}y^3)(5x^{2a}y^3) ?

The solution to (2x^{2a+1}y^3)(5x^{2a}y^3) is 10y^6x^{4a+1}

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simplify (2x^{2a+1}y^3)(5x^{2a}y^3)

simplify

(2 x^{2 a + 1} y^{3}) (5 x^{2 a} y^{3})

10 y^{6} x^{4 a + 1}

Solution steps

(2 x^{2 a + 1} y^{3}) (5 x^{2 a} y^{3})

Apply exponent rule:

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

x^{2 a + 1} x^{2 a} = x^{2 a + 1 + 2 a}

= 2 y^{3} \cdot 5 x^{2 a + 1 + 2 a} y^{3}

Apply exponent rule:

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

y^{3} y^{3} = y^{3 + 3}

= 2 \cdot 5 x^{2 a + 1 + 2 a} y^{3 + 3}

Add the numbers:

3 + 3 = 6

= 2 \cdot 5 x^{2 a + 1 + 2 a} y^{6}

Simplify

2 a + 1 + 2 a : 4 a + 1

= 2 \cdot 5 y^{6} x^{4 a + 1}

Multiply the numbers:

2 \cdot 5 = 10

= 10 y^{6} x^{4 a + 1}

e^{- 0.68}

- e^{- a t} \cdot u (- t)

[(m^{3})^{0}]^{2}

e^{- l n (4 - y)}

(e^{3})^{- 4}

What is (2x^{2a+1}y^3)(5x^{2a}y^3) ?
The solution to (2x^{2a+1}y^3)(5x^{2a}y^3) is 10y^6x^{4a+1}