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Popular >

simplify (5*10^9)5

Solution

simplify

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

Solution

25000000000

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= 1 0^{9} \cdot 5^{2}

Factor integer

10 = 5 \cdot 2

= (5 \cdot 2)^{9} \cdot 5^{2}

Apply exponent rule:

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

(5 \cdot 2)^{9} = 5^{9} \cdot 2^{9}

= 5^{9} \cdot 2^{9} \cdot 5^{2}

Apply exponent rule:

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

5^{9} \cdot 5^{2} = 5^{9 + 2}

= 2^{9} \cdot 5^{9 + 2}

Add the numbers:

9 + 2 = 11

= 2^{9} \cdot 5^{11}

2^{9} = 512

= 5^{11} \cdot 512

5^{11} = 48828125

= 512 \cdot 48828125

Multiply the numbers:

512 \cdot 48828125 = 25000000000

= 25000000000

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Frequently Asked Questions (FAQ)

What is (5*10^9)5 ?
The solution to (5*10^9)5 is 25000000000