What is (7.84*10^4)*(10*10^{-2}*30*10^{-2}) ?

The solution to (7.84*10^4)*(10*10^{-2}*30*10^{-2}) is 2352

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simplify (7.8410^4)(1010^{-2}30*10^{-2})

simplify

(7.84 \cdot 1 0^{4}) \cdot (10 \cdot 1 0^{- 2} \cdot 30 \cdot 1 0^{- 2})

2352

Solution steps

(7.84 \cdot 1 0^{4}) (10 \cdot 1 0^{- 2} \cdot 30 \cdot 1 0^{- 2})

7.84 \cdot 1 0^{4} = 78400

= 78400 \cdot 10 \cdot 1 0^{- 2} \cdot 30 \cdot 1 0^{- 2}

1 0^{- 2} = \frac{1}{100}

= 78400 \cdot 10 \cdot \frac{1}{100} \cdot 30 \cdot 1 0^{- 2}

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 78400 \cdot 10 \cdot \frac{1}{100} \cdot 30 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 78400 \cdot 10 \cdot \frac{1}{100} \cdot 30 \cdot \frac{1}{100}

Multiply the numbers:

78400 \cdot 10 \cdot 30 = 23520000

= 23520000 \cdot \frac{1}{100} \cdot \frac{1}{100}

Apply exponent rule:

aa = a^{2}

\frac{1}{100} \cdot \frac{1}{100} = (\frac{1}{100})^{2}

= 23520000 (\frac{1}{100})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{100})^{2} = \frac{1 ^{2}}{10 0 ^{2}}

= 23520000 \cdot \frac{1 ^{2}}{10 0 ^{2}}

1^{2} = 1

= 23520000 \cdot \frac{1}{10 0 ^{2}}

10 0^{2} = 10000

= 23520000 \cdot \frac{1}{10000}

23520000 \cdot \frac{1}{10000} = 2352

= 2352

10 \cdot e^{- 8 \cdot 30}

1207 a a

0.5 y^{- \frac{2}{3}} \cdot \frac{1}{y ^{- 0.5}}

(- 4 a^{4} b^{4}) e n t re (- 2 a^{2} b^{3})

t \cdot e^{8 t} \cdot f (t)

What is (7.84*10^4)*(10*10^{-2}*30*10^{-2}) ?
The solution to (7.84*10^4)*(10*10^{-2}*30*10^{-2}) is 2352