What is 460x10^6(3.7x10^{10}) ?

The solution to 460x10^6(3.7x10^{10}) is 1.702E19x^2

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simplify 460x10^6(3.7x10^{10})

simplify

460 x 1 0^{6} (3.7 x 1 0^{10})

1.702 E 19 x^{2}

Solution steps

460 x \cdot 1 0^{6} (3.7 x \cdot 1 0^{10})

Apply exponent rule:

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

1 0^{6} \cdot 1 0^{10} = 1 0^{6 + 10}

= 460 x \cdot 3.7 x \cdot 1 0^{6 + 10}

Add the numbers:

6 + 10 = 16

= 460 x \cdot 3.7 x \cdot 1 0^{16}

Apply exponent rule:

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

xx = x^{1 + 1}

= 460 \cdot 3.7 x^{1 + 1} \cdot 1 0^{16}

Add the numbers:

1 + 1 = 2

= 460 \cdot 3.7 x^{2} \cdot 1 0^{16}

Multiply the numbers:

460 \cdot 3.7 = 1702

= 1 0^{16} \cdot 1702 x^{2}

Convert element to a decimal form

1 0^{16} = 1.0 E 16

= 1702 \cdot 1.0 E 16 x^{2}

Multiply the numbers:

1702 \cdot 1.0 E 16 = 1.702 E 19

= 1.702 E 19 x^{2}

x (6 x (x - 1)^{2})

5.946 \cdot 1 0^{- 4}

5.946 \cdot 1 0^{- 5}

2 b^{2} a

4 e^{- \frac{5 π}{6}}

What is 460x10^6(3.7x10^{10}) ?
The solution to 460x10^6(3.7x10^{10}) is 1.702E19x^2