What is (2tuvw)(5t^5u^3v^6w) ?

The solution to (2tuvw)(5t^5u^3v^6w) is 10t^6u^4v^7w^2

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simplify (2tuvw)(5t^5u^3v^6w)

simplify

(2 t uv w) (5 t^{5} u^{3} v^{6} w)

10 t^{6} u^{4} v^{7} w^{2}

Solution steps

(2 t uv w) (5 t^{5} u^{3} v^{6} w)

Apply exponent rule:

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

t t^{5} = t^{1 + 5}

= 2 uv w \cdot 5 t^{1 + 5} u^{3} v^{6} w

Add the numbers:

1 + 5 = 6

= 2 uv w \cdot 5 t^{6} u^{3} v^{6} w

Apply exponent rule:

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

u u^{3} = u^{1 + 3}

= 2 v w \cdot 5 t^{6} u^{1 + 3} v^{6} w

Add the numbers:

1 + 3 = 4

= 2 v w \cdot 5 t^{6} u^{4} v^{6} w

Apply exponent rule:

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

v v^{6} = v^{1 + 6}

= 2 w \cdot 5 t^{6} u^{4} v^{1 + 6} w

Add the numbers:

1 + 6 = 7

= 2 w \cdot 5 t^{6} u^{4} v^{7} w

Apply exponent rule:

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

ww = w^{1 + 1}

= 2 \cdot 5 t^{6} u^{4} v^{7} w^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2 \cdot 5 t^{6} u^{4} v^{7} w^{2}

Multiply the numbers:

2 \cdot 5 = 10

= 10 t^{6} u^{4} v^{7} w^{2}

(e^{- 2 x})^{3}

e^{- x} (e^{x} cos (x))

\frac{1}{2} (1.67 \cdot 1 0^{- 23}) (0.079 4^{2})

(1.2) \cdot 0. 3^{- 0.25} \cdot 0. 9^{- 0.75}

What is (2tuvw)(5t^5u^3v^6w) ?
The solution to (2tuvw)(5t^5u^3v^6w) is 10t^6u^4v^7w^2