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Popular >

simplify 70(70*10^6)

Solution

simplify

70 (70 \cdot 1 0^{6})

Solution

4900000000

Solution steps

70 (70 \cdot 1 0^{6})

Apply exponent rule:

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

70 \cdot 70 = 7 0^{1 + 1}

= 7 0^{1 + 1} \cdot 1 0^{6}

Add the numbers:

1 + 1 = 2

= 7 0^{2} \cdot 1 0^{6}

Factor integer

70 = 2 \cdot 5 \cdot 7

= (2 \cdot 5 \cdot 7)^{2} \cdot 1 0^{6}

Apply exponent rule:

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

(2 \cdot 5 \cdot 7)^{2} = 2^{2} \cdot 5^{2} \cdot 7^{2}

= 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 1 0^{6}

Factor integer

10 = 2 \cdot 5

= 2^{2} \cdot 5^{2} \cdot 7^{2} (2 \cdot 5)^{6}

Apply exponent rule:

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

(2 \cdot 5)^{6} = 2^{6} \cdot 5^{6}

= 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 2^{6} \cdot 5^{6}

Apply exponent rule:

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

2^{2} \cdot 2^{6} = 2^{2 + 6}

= 5^{2} \cdot 7^{2} \cdot 2^{2 + 6} \cdot 5^{6}

Add the numbers:

2 + 6 = 8

= 5^{2} \cdot 7^{2} \cdot 2^{8} \cdot 5^{6}

Apply exponent rule:

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

5^{2} \cdot 5^{6} = 5^{2 + 6}

= 7^{2} \cdot 2^{8} \cdot 5^{2 + 6}

Add the numbers:

2 + 6 = 8

= 7^{2} \cdot 2^{8} \cdot 5^{8}

7^{2} = 49

= 2^{8} \cdot 5^{8} \cdot 49

2^{8} = 256

= 5^{8} \cdot 49 \cdot 256

5^{8} = 390625

= 49 \cdot 256 \cdot 390625

Multiply the numbers:

49 \cdot 256 \cdot 390625 = 4900000000

= 4900000000

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Frequently Asked Questions (FAQ)

What is 70(70*10^6) ?
The solution to 70(70*10^6) is 4900000000