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​Find the value of 18−13÷1818×18−3\text{Find the value of } 18^{-13} \div 18^{18} \times 18^{-3}Find the value of&n
Question

Find the value of 1813÷1818×183\text{Find the value of } 18^{-13} \div 18^{18} \times 18^{-3}​​

A.

184118^{-41} \quad​​

B.

183418^{-34} \quad​​

C.

182918^{-29} \quad​​

D.

1840 18^{-40}​​

Correct option is B

Given:

1813÷1818×18318^{-13} \div 18^{18} \times 18^{-3}

Formula Used:

am ÷\div  an = am-n , am×\times an = am + n 

Solution:

1813÷1818×18318^{-13} \div 18^{18} \times 18^{-3}
= 18-13 -18×183\times 18^{-3}

=18-31×183\times 18^{-3} 

= 18-31-3 = 18-34

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