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

The solution to (2x^4y^5z)(8x^3y^2) is 16x^7y^7z

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

simplify

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

16 x^{7} y^{7} z

Solution steps

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

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

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

Add the numbers:

4 + 3 = 7

= 2 y^{5} z \cdot 8 x^{7} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= 2 z \cdot 8 x^{7} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 2 z \cdot 8 x^{7} y^{7}

Multiply the numbers:

2 \cdot 8 = 16

= 16 x^{7} y^{7} z

e^{10.102} \cdot 30. 5^{- 1.0221}

H (t) e^{- a t}

7.6 \cdot 1 0^{- 4}