What is (8.7*10^4)*(10*10^{-2}*30*10^{-2}) ?

The solution to (8.7*10^4)*(10*10^{-2}*30*10^{-2}) is 2610

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simplify (8.710^4)(1010^{-2}30*10^{-2})

simplify

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

2610

Solution steps

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

8.7 \cdot 1 0^{4} = 87000

= 87000 \cdot 10 \cdot 1 0^{- 2} \cdot 30 \cdot 1 0^{- 2}

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

= 87000 \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}}

= 87000 \cdot 10 \cdot \frac{1}{100} \cdot 30 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 87000 \cdot 10 \cdot \frac{1}{100} \cdot 30 \cdot \frac{1}{100}

Multiply the numbers:

87000 \cdot 10 \cdot 30 = 26100000

= 26100000 \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}

= 26100000 (\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}}

= 26100000 \cdot \frac{1 ^{2}}{10 0 ^{2}}

1^{2} = 1

= 26100000 \cdot \frac{1}{10 0 ^{2}}

10 0^{2} = 10000

= 26100000 \cdot \frac{1}{10000}

26100000 \cdot \frac{1}{10000} = 2610

= 2610

- 36312 \cdot e^{- 534 \cdot 4}

e^{- 0.01683}

10 \cdot e^{- 0.03 \cdot 2}

4 e^{4 x} e^{- 6 x}

What is (8.7*10^4)*(10*10^{-2}*30*10^{-2}) ?
The solution to (8.7*10^4)*(10*10^{-2}*30*10^{-2}) is 2610