What is (8.5x10^{28})(2.45x10^{101}) ?

The solution to (8.5x10^{28})(2.45x10^{101}) is 2.0825E130x^2

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simplify (8.5x10^{28})(2.45x10^{101})

simplify

(8.5 x 1 0^{28}) (2.45 x 1 0^{101})

2.0825 E 130 x^{2}

Solution steps

(8.5 x \cdot 1 0^{28}) (2.45 x \cdot 1 0^{101})

Apply exponent rule:

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

1 0^{28} \cdot 1 0^{101} = 1 0^{28 + 101}

= 8.5 x \cdot 2.45 x \cdot 1 0^{28 + 101}

Add the numbers:

28 + 101 = 129

= 8.5 x \cdot 2.45 x \cdot 1 0^{129}

Apply exponent rule:

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

xx = x^{1 + 1}

= 8.5 \cdot 2.45 x^{1 + 1} \cdot 1 0^{129}

Add the numbers:

1 + 1 = 2

= 8.5 \cdot 2.45 x^{2} \cdot 1 0^{129}

Multiply the numbers:

8.5 \cdot 2.45 = 20.825

= 1 0^{129} \cdot 20.825 x^{2}

Convert element to a decimal form

1 0^{129} = 1.0 E 129

= 20.825 \cdot 1.0 E 129 x^{2}

Multiply the numbers:

20.825 \cdot 1.0 E 129 = 2.0825 E 130

= 2.0825 E 130 x^{2}

1.539 \cdot 1 0^{- 4} \cdot 1.371

- 410 x^{3} x

0.324 \cdot 2 \cdot 1 0^{- 2}

(5 x^{10} e^{- 6}) (4 x^{10} e^{- 5})

7 e^{3} \cdot 2 e^{2} \cdot (- 4) e

What is (8.5x10^{28})(2.45x10^{101}) ?
The solution to (8.5x10^{28})(2.45x10^{101}) is 2.0825E130x^2