What is (5.24\times 10^5)(2.17\times 10^{11}) ?

The solution to (5.24\times 10^5)(2.17\times 10^{11}) is 1.13708E17

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simplify (5.24\times 10^5)(2.17\times 10^{11})

simplify

(5.24 \cdot 1 0^{5}) (2.17 \cdot 1 0^{11})

1.13708 E 17

Solution steps

(5.24 \cdot 1 0^{5}) (2.17 \cdot 1 0^{11})

Apply exponent rule:

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

1 0^{5} \cdot 1 0^{11} = 1 0^{5 + 11}

= 5.24 \cdot 2.17 \cdot 1 0^{5 + 11}

Add the numbers:

5 + 11 = 16

= 5.24 \cdot 2.17 \cdot 1 0^{16}

Multiply the numbers:

5.24 \cdot 2.17 = 11.3708

= 1 0^{16} \cdot 11.3708

Convert element to a decimal form

1 0^{16} = 1.0 E 16

= 1.0 E 16 \cdot 11.3708

Multiply the numbers:

11.3708 \cdot 1.0 E 16 = 1.13708 E 17

= 1.13708 E 17

e^{- 0.2 t}

2 \times 2 \times 2

100 e^{- 0.5}

e^{- x} \times (- 2) e^{- 2 x}

What is (5.24\times 10^5)(2.17\times 10^{11}) ?
The solution to (5.24\times 10^5)(2.17\times 10^{11}) is 1.13708E17