What is 7w^7x^6(2x^6)(2w) ?

The solution to 7w^7x^6(2x^6)(2w) is 28w^8x^{12}

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simplify 7w^7x^6(2x^6)(2w)

simplify

7 w^{7} x^{6} (2 x^{6}) (2 w)

28 w^{8} x^{12}

Solution steps

7 w^{7} x^{6} (2 x^{6}) (2 w)

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 7 w^{7} x^{6} x^{6} \cdot 2^{1 + 1} w

Add the numbers:

1 + 1 = 2

= 7 w^{7} x^{6} x^{6} \cdot 2^{2} w

Apply exponent rule:

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

w^{7} w = w^{7 + 1}

= 7 x^{6} x^{6} \cdot 2^{2} w^{7 + 1}

Add the numbers:

7 + 1 = 8

= 7 x^{6} x^{6} \cdot 2^{2} w^{8}

Apply exponent rule:

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

x^{6} x^{6} = x^{6 + 6}

= 7 x^{6 + 6} \cdot 2^{2} w^{8}

Add the numbers:

6 + 6 = 12

= 7 x^{12} \cdot 2^{2} w^{8}

2^{2} = 4

= 7 \cdot 4 w^{8} x^{12}

Multiply the numbers:

7 \cdot 4 = 28

= 28 w^{8} x^{12}

0.25 e^{- 0.25 (3)}

(7 x^{2}) (5 x^{3})

16.76 e^{- 0.06 \cdot 5}

\frac{0.9 2 ^{2}}{0. 9 ^{2}}

10.8 \cdot 1 0^{- 6}