What is (4*10^8)(2.1*10^5) ?

The solution to (4*10^8)(2.1*10^5) is 8.4E13

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Popular >

simplify (410^8)(2.110^5)

simplify

(4 \cdot 1 0^{8}) (2.1 \cdot 1 0^{5})

8.4 E 13

Solution steps

(4 \cdot 1 0^{8}) (2.1 \cdot 1 0^{5})

Apply exponent rule:

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

1 0^{8} \cdot 1 0^{5} = 1 0^{8 + 5}

= 4 \cdot 2.1 \cdot 1 0^{8 + 5}

Add the numbers:

8 + 5 = 13

= 4 \cdot 2.1 \cdot 1 0^{13}

Multiply the numbers:

4 \cdot 2.1 = 8.4

= 1 0^{13} \cdot 8.4

Convert element to a decimal form

1 0^{13} = 10000000000000

= 10000000000000 \cdot 8.4

Multiply the numbers:

8.4 \cdot 10000000000000 = 8.4 E 13

= 8.4 E 13

e^{- 0.01} \cdot e^{- 0.01}

3.911 e^{- 2}

0.8 \cdot 1200 \cdot 1 0^{- 6}

\frac{e ^{- 300}}{e ^{- 50}}