Simplify (6.67x10^-11)(29.06572410^48x^2)x^3

$(6.67 x \cdot 10^{- 11}) (29.065724 \cdot 10^{48} x^{2}) x^{3}$

Step 1

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$6.67 (x^{2} x) \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48} x^{3}$

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$6.67 (x^{2} x^{1}) \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48} x^{3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6.67 x^{2 + 1} \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48} x^{3}$

Add $2$ and $1$ .

$6.67 x^{3} \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48} x^{3}$

Step 2

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$6.67 (x^{3} x^{3}) \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6.67 x^{3 + 3} \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48}$

Add $3$ and $3$ .

$6.67 x^{6} \cdot 10^{- 11} \cdot 29.065724 \cdot 10^{48}$

Step 3

Multiply $10^{- 11}$ by $10^{48}$ by adding the exponents.

Move $10^{48}$ .

$6.67 x^{6} \cdot (10^{48} \cdot 10^{- 11}) \cdot 29.065724$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6.67 x^{6} \cdot 10^{48 - 11} \cdot 29.065724$

Subtract $11$ from $48$ .

$6.67 x^{6} \cdot 10^{37} \cdot 29.065724$

Step 4

Multiply $29.065724$ by $6.67$ .

$193.86837908 x^{6} \cdot 10^{37}$

Step 5

Reorder factors in $193.86837908 x^{6} \cdot 10^{37}$ .

$193.86837908 \cdot 10^{37} x^{6}$

Simplify (6.67x*10^-11)(29.065724*10^48x^2)x^3