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Simplify using laws of exponents: 25^4 × 10^10 × 4^4 × 10^-18​

User Tgyhlsb
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2 Answers

4 votes
answer = 1
explanation: 25^4x10^10x4^4x10-10
100^4x10^-8
10^8x10-8
1
User Alberto Perrella
by
9.0k points
3 votes

Answer: 1

Explanation:


\displaystyle\\25^4*10^(10)*4^4*10^(-18)=\\\\((5^2)^4*(2*5)^(10)*(2^2)^4)/(10^(18)) =\\\\(5^(2*4)*2^(10)*5^(10)*2^(2*4))/((2*5)^(18))=\\\\(5^8*2^(10)*5^(10)*2^8)/(2^(18)*5^(18))=\\\\(2^(10+8)*5^(8+10))/(2^(18)*5^(18))=\\\\ (2^(18)*5^(18))/(2^(18)*5^(18)) =\\\\1

User Guilherme Meireles
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