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Popular >

simplify (910^5)(9*10^7)

Solution

simplify

(9 \cdot 1 0^{5}) \cdot (9 \cdot 1 0^{7})

Solution

1 0^{12} \cdot 81

+1

Solution steps

(9 \cdot 1 0^{5}) (9 \cdot 1 0^{7})

Apply exponent rule:

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

1 0^{5} \cdot 1 0^{7} = 1 0^{5 + 7}

= 9 \cdot 9 \cdot 1 0^{5 + 7}

Add the numbers:

5 + 7 = 12

= 9 \cdot 9 \cdot 1 0^{12}

Apply exponent rule:

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

9 \cdot 9 = 9^{1 + 1}

= 9^{1 + 1} \cdot 1 0^{12}

Add the numbers:

1 + 1 = 2

= 9^{2} \cdot 1 0^{12}

9^{2} = 81

= 1 0^{12} \cdot 81

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Frequently Asked Questions (FAQ)

What is (9*10^5)*(9*10^7) ?
The solution to (9*10^5)*(9*10^7) is 10^{12}*81