What is (8x^2y)(4xy^2)(2x^5y^3) ?

The solution to (8x^2y)(4xy^2)(2x^5y^3) is 64x^8y^6

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simplify (8x^2y)(4xy^2)(2x^5y^3)

simplify

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

64 x^{8} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{2} x x^{5} = x^{2 + 1 + 5}

= 8 y \cdot 4 y^{2} \cdot 2 x^{2 + 1 + 5} y^{3}

Add the numbers:

2 + 1 + 5 = 8

= 8 y \cdot 4 y^{2} \cdot 2 x^{8} y^{3}

Apply exponent rule:

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

y y^{2} y^{3} = y^{1 + 2 + 3}

= 8 \cdot 4 \cdot 2 x^{8} y^{1 + 2 + 3}

Add the numbers:

1 + 2 + 3 = 6

= 8 \cdot 4 \cdot 2 x^{8} y^{6}

Multiply the numbers:

8 \cdot 4 \cdot 2 = 64

= 64 x^{8} y^{6}

x^{2} (x - 1)^{2} (2 x - 5)^{2}

5.8 \cdot 1 0^{- 3}

e^{3 x} e^{3 x}

5.8 \cdot 1 0^{- 4}

5.8 \cdot 1 0^{- 7}

What is (8x^2y)(4xy^2)(2x^5y^3) ?
The solution to (8x^2y)(4xy^2)(2x^5y^3) is 64x^8y^6