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Popular >

simplify 2(2*10^8)

Solution

simplify

2 (2 \cdot 1 0^{8})

Solution

400000000

Solution steps

2 (2 \cdot 1 0^{8})

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1} \cdot 1 0^{8}

Add the numbers:

1 + 1 = 2

= 2^{2} \cdot 1 0^{8}

Factor integer

10 = 2 \cdot 5

= 2^{2} (2 \cdot 5)^{8}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

(2 \cdot 5)^{8} = 2^{8} \cdot 5^{8}

= 2^{2} \cdot 2^{8} \cdot 5^{8}

Apply exponent rule:

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

2^{2} \cdot 2^{8} = 2^{2 + 8}

= 2^{2 + 8} \cdot 5^{8}

Add the numbers:

2 + 8 = 10

= 2^{10} \cdot 5^{8}

2^{10} = 1024

= 5^{8} \cdot 1024

5^{8} = 390625

= 1024 \cdot 390625

Multiply the numbers:

1024 \cdot 390625 = 400000000

= 400000000

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Frequently Asked Questions (FAQ)

What is 2(2*10^8) ?
The solution to 2(2*10^8) is 400000000