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Popular >

simplify (410^8)(910^9)

Solution

simplify

(4 \cdot 1 0^{8}) (9 \cdot 1 0^{9})

Solution

1 0^{17} \cdot 36

+1

Decimal Notation

3.6 E 18

Solution steps

(4 \cdot 1 0^{8}) (9 \cdot 1 0^{9})

Apply exponent rule:

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

1 0^{8} \cdot 1 0^{9} = 1 0^{8 + 9}

= 4 \cdot 9 \cdot 1 0^{8 + 9}

Add the numbers:

8 + 9 = 17

= 4 \cdot 9 \cdot 1 0^{17}

Multiply the numbers:

4 \cdot 9 = 36

= 1 0^{17} \cdot 36

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Frequently Asked Questions (FAQ)

What is (4*10^8)(9*10^9) ?
The solution to (4*10^8)(9*10^9) is 10^{17}*36