What is 6.022*(10^2)^3 ?

The solution to 6.022*(10^2)^3 is 6022000

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simplify 6.022*(10^2)^3

simplify

6.022 \cdot (1 0^{2})^{3}

6022000

Solution steps

6.022 (1 0^{2})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{2})^{3} = 1 0^{2 \cdot 3}

= 6.022 \cdot 1 0^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 6.022 \cdot 1 0^{6}

1 0^{6} = 1000000

= 6.022 \cdot 1000000

Multiply the numbers:

6.022 \cdot 1000000 = 6022000

= 6022000

e^{- \frac{l n ( x )}{2}}

e^{4 x} \cdot e^{2 x}

e^{- 1} \cdot 1

e^{- 1} \cdot 4

(h + 1) \cdot e^{- bh}