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Popular >

simplify (10e^{20})(10e^4)

Solution

simplify

(10 e^{20}) (10 e^{4})

Solution

100 e^{24}

+1

Solution steps

(10 e^{20}) (10 e^{4})

Apply exponent rule:

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

10 \cdot 10 = 1 0^{1 + 1}

= e^{20} \cdot 1 0^{1 + 1} e^{4}

Add the numbers:

1 + 1 = 2

= e^{20} \cdot 1 0^{2} e^{4}

Apply exponent rule:

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

e^{20} e^{4} = e^{20 + 4}

= 1 0^{2} e^{20 + 4}

Add the numbers:

20 + 4 = 24

= 1 0^{2} e^{24}

1 0^{2} = 100

= 100 e^{24}

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Frequently Asked Questions (FAQ)

What is (10e^{20})(10e^4) ?
The solution to (10e^{20})(10e^4) is 100e^{24}