What is (3.15*10^4)(5.15*10^{-7}) ?

The solution to (3.15*10^4)(5.15*10^{-7}) is 6489/400000

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simplify (3.1510^4)(5.1510^{-7})

simplify

(3.15 \cdot 1 0^{4}) (5.15 \cdot 1 0^{- 7})

\frac{6489}{400000}

Decimal Notation

0.0162225

Solution steps

(3.15 \cdot 1 0^{4}) (5.15 \cdot 1 0^{- 7})

3.15 \cdot 1 0^{4} = 31500

= 31500 \cdot 5.15 \cdot 1 0^{- 7}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 7} = \frac{1}{1 0 ^{7}}

= 31500 \cdot 5.15 \cdot \frac{1}{1 0 ^{7}}

1 0^{7} = 10000000

= 31500 \cdot 5.15 \cdot \frac{1}{10000000}

Multiply the numbers:

31500 \cdot 5.15 = 162225

= 162225 \cdot \frac{1}{10000000}

= \frac{1}{10000000} \cdot 162225

\frac{1}{10000000} \cdot 162225 = \frac{6489}{400000}

= \frac{6489}{400000}

\frac{7.349 \cdot 1 0 ^{22}}{1737. 1 ^{2}} \cdot 6.67 \cdot 1 0^{- 11}

3.34 \cdot 1 0^{- 4}

e^{- 32 \cdot 56}

What is (3.15*10^4)(5.15*10^{-7}) ?
The solution to (3.15*10^4)(5.15*10^{-7}) is 6489/400000