What is 8xa^4b^2(2xab) ?

The solution to 8xa^4b^2(2xab) is 16a^5b^3x^2

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simplify 8xa^4b^2(2xab)

simplify

8 x a^{4} b^{2} (2 x ab)

16 a^{5} b^{3} x^{2}

Solution steps

8 x a^{4} b^{2} (2 x ab)

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

= 8 x b^{2} \cdot 2 x a^{4 + 1} b

Add the numbers:

4 + 1 = 5

= 8 x b^{2} \cdot 2 x a^{5} b

Apply exponent rule:

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

b^{2} b = b^{2 + 1}

= 8 x \cdot 2 x a^{5} b^{2 + 1}

Add the numbers:

2 + 1 = 3

= 8 x \cdot 2 x a^{5} b^{3}

Apply exponent rule:

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

xx = x^{1 + 1}

= 8 \cdot 2 x^{1 + 1} a^{5} b^{3}

Add the numbers:

1 + 1 = 2

= 8 \cdot 2 x^{2} a^{5} b^{3}

Multiply the numbers:

8 \cdot 2 = 16

= 16 a^{5} b^{3} x^{2}

(8^{3})^{9} \cdot 8^{- 4^{'}}

55000 (1 + \frac{0.32}{52})^{- 208}

- π r^{2} \cdot 2 r

2 \cdot 1 0^{- 5} \cdot 0.0003

4 π \cdot 1 0^{- 7} \cdot 5