What is (3.2*10^2)(5*10^{-7}) ?

The solution to (3.2*10^2)(5*10^{-7}) is 1/6250

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simplify (3.210^2)(510^{-7})

simplify

(3.2 \cdot 1 0^{2}) (5 \cdot 1 0^{- 7})

\frac{1}{6250}

Decimal Notation

0.00016

Solution steps

(3.2 \cdot 1 0^{2}) (5 \cdot 1 0^{- 7})

3.2 \cdot 1 0^{2} = 320

= 320 \cdot 5 \cdot 1 0^{- 7}

Apply exponent rule:

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

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

= 320 \cdot 5 \cdot \frac{1}{1 0 ^{7}}

1 0^{7} = 10000000

= 320 \cdot 5 \cdot \frac{1}{10000000}

Multiply the numbers:

320 \cdot 5 = 1600

= 1600 \cdot \frac{1}{10000000}

= \frac{1}{10000000} \cdot 1600

\frac{1}{10000000} \cdot 1600 = \frac{1}{6250}

= \frac{1}{6250}

4 π \cdot 1 0^{- 7} \cdot 1.5 \cdot 220

e^{- 0.80578}

(x + 1)^{\circ} (4 x - 56)^{\circ}

7.5 \cdot 1 0^{- 9}

1.45 \cdot 1 0^{- 8} \cdot e^{- \frac{13700}{8.31 \cdot 367}}